Details

Time bar (total: 13.7s)

analyze241.0ms (1.8%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%87.4%0.1%12.5%0%0%6
25.5%20.3%59.3%0.1%18.7%0%1.6%7
29%21.1%51.5%0.1%25%0%2.3%8
53.8%35.5%30.4%0.1%28.1%0%5.9%9
57.7%35.7%26.1%0.1%31.2%0%6.8%10
73.5%42.8%15.4%0.1%32.8%0%8.9%11
76.5%42.9%13.2%0.1%34.3%0%9.5%12
Compiler

Compiled 32 to 26 computations (18.8% saved)

sample2.9s (21.1%)

Results
1.2s2078×body1024valid
881.0ms4872×body256valid
360.0ms1106×body512valid
242.0ms200×body2048valid
86.0ms498×body256infinite
84.0ms434×body256unsamplable
10.0ms22×body1024infinite
3.0ms11×body512infinite
Bogosity

preprocess52.0ms (0.4%)

Algorithm
egg-herbie
Rules
1380×associate-*l/
1008×associate-/l/
946×*-commutative
766×associate-/r/
656×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037178
1106178
2302146
3950146
43341146
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 x) eps)))) (*.f64 (-.f64 (/.f64 1 x) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 x) eps))))) 2)
Outputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 x) (+.f64 eps -1)) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 x) eps)))) (*.f64 (-.f64 (/.f64 1 x) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 x) eps))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (exp.f64 (*.f64 (neg.f64 (-.f64 1 x)) eps))) (*.f64 (+.f64 (/.f64 1 x) -1) (exp.f64 (neg.f64 (*.f64 eps (+.f64 1 x)))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (neg.f64 (-.f64 1 x))) eps)) (*.f64 (+.f64 (/.f64 1 x) -1) (pow.f64 (exp.f64 (+.f64 1 x)) (neg.f64 eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (+.f64 x -1)) eps) (/.f64 (+.f64 1 (/.f64 -1 x)) (exp.f64 (fma.f64 eps x eps)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 (-.f64 x 1)) eps) (/.f64 (-.f64 1 (/.f64 1 x)) (exp.f64 (fma.f64 eps x eps)))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 x)) (pow.f64 (exp.f64 eps) (+.f64 x -1)) (/.f64 (+.f64 1 (/.f64 -1 x)) (exp.f64 (fma.f64 eps x eps)))))
Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify42.0ms (0.3%)

Algorithm
egg-herbie
Rules
1196×associate-/l*
1030×associate-*l*
1026×times-frac
872×associate-/r*
816×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02289
16089
216273
351173
4172373
Stop Event
node limit
Counts
1 → 6
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Outputs
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (+.f64 (neg.f64 eps) -1))))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
(*.f64 1/2 (fma.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x (neg.f64 x))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x)))))

eval3.0ms (0%)

Compiler

Compiled 164 to 117 computations (28.7% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New426
Fresh101
Picked000
Done000
Total527
Error
29.8b
Counts
7 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
43.0b
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
29.8b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
Compiler

Compiled 58 to 44 computations (24.1% saved)

localize58.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 1 eps) (neg.f64 x))
0.0b
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
0.0b
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
2.2b
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
Compiler

Compiled 136 to 92 computations (32.4% saved)

series14.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
3.0ms
eps
@inf
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
2.0ms
eps
@0
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
1.0ms
eps
@-inf
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
1.0ms
x
@inf
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
1.0ms
x
@0
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))

rewrite208.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1438×associate-/r*
586×associate-+l+
454×associate-+r+
450×add-sqr-sqrt
444×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020178
1443152
26105152
Stop Event
node limit
Counts
4 → 321
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
(*.f64 (-.f64 1 eps) (neg.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (+.f64 (*.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (/.f64 1 eps)) (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (+.f64 1 (/.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (+.f64 (*.f64 (/.f64 1 eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (+.f64 1 (/.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (+.f64 (*.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (/.f64 1 eps)) (+.f64 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (+.f64 1 (/.f64 -1 eps))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (+.f64 1 (/.f64 -1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (+.f64 (*.f64 (/.f64 1 eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (+.f64 1 (/.f64 -1 eps))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (+.f64 1 (/.f64 -1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (+.f64 (*.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (/.f64 1 eps)) (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (+.f64 1 (/.f64 -1 eps))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (+.f64 (*.f64 (/.f64 1 eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (+.f64 1 (/.f64 -1 eps))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (-.f64 (*.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (/.f64 1 eps)) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (-.f64 (*.f64 (/.f64 1 eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (-.f64 (*.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (/.f64 1 eps)) (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (+.f64 1 (/.f64 -1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) (-.f64 (*.f64 (/.f64 1 eps) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (-.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (+.f64 1 (/.f64 -1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (+.f64 1 (/.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (+.f64 1 (/.f64 -1 eps))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (+.f64 1 (/.f64 -1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (+.f64 1 (/.f64 -1 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (+.f64 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (+.f64 1 (/.f64 -1 eps))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (+.f64 1 (/.f64 -1 eps))))) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (+.f64 1 (/.f64 -1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (+.f64 1 (/.f64 -1 eps))) 1) (+.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (+.f64 1 (/.f64 -1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 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simplify360.0ms (2.6%)

Algorithm
egg-herbie
Rules
1286×associate-+r+
1172×associate-+l+
982×+-commutative
844×associate-*r*
648×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
091147897
1269543721
Stop Event
node limit
Counts
417 → 554
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
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(-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
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(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) 1) (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 eps -3)) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 eps -2) (/.f64 -1 eps)))))
(pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))
(exp.f64 (+.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)) (log.f64 (+.f64 (/.f64 1 eps) -1))))
(exp.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)) (log.f64 (+.f64 (/.f64 1 eps) -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))
(+.f64 x (*.f64 x (neg.f64 eps)))
(+.f64 x (*.f64 (neg.f64 eps) x))
(+.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)) 0)
(+.f64 0 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))) (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2)))
(+.f64 (*.f64 x (neg.f64 eps)) x)
(+.f64 (*.f64 (neg.f64 eps) x) x)
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) 1)
(-.f64 x (*.f64 x (neg.f64 eps)))
(-.f64 x (*.f64 (neg.f64 eps) x))
(-.f64 0 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 x (neg.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (neg.f64 eps) x)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))) 1)
(-.f64 (-.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(-.f64 (-.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))))
(/.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)) 1)
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) 1) (+.f64 1 eps))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (-.f64 1 (*.f64 eps eps))) (/.f64 1 (-.f64 1 eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (*.f64 eps eps)))) (+.f64 1 eps))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) 1) (+.f64 1 eps))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (-.f64 1 (*.f64 eps eps))) (/.f64 1 (-.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (*.f64 eps eps)))) (+.f64 1 eps))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (cbrt.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 1 (pow.f64 eps 3))) (/.f64 1 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (pow.f64 eps 3)))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) 1) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (cbrt.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (+.f64 1 (pow.f64 eps 3))) (/.f64 1 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (pow.f64 eps 3)))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) 1) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(pow.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)) 3) 1/3)
(neg.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(exp.f64 (log.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
Outputs
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (-.f64 (*.f64 eps (*.f64 eps (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6)))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))))))
(-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (pow.f64 eps 4) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 4) 1/24))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 5) -1/120)))) (pow.f64 eps 4) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (*.f64 eps (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6))))))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 6) (-.f64 (+.f64 (*.f64 1/5040 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 7))) (*.f64 1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6)))) (+.f64 (*.f64 -1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6))) (*.f64 -1/5040 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 7)))))) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (fma.f64 (pow.f64 eps 6) (-.f64 (fma.f64 1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) (*.f64 1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)))) (fma.f64 -1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) -1/5040))) (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) -1/120))) (pow.f64 eps 4) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6)))))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (fma.f64 (pow.f64 eps 6) (-.f64 (fma.f64 1/5040 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 7)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 6) 1/720))) (fma.f64 -1/720 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 6)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 7) -1/5040)))) (fma.f64 (exp.f64 (neg.f64 x)) x (fma.f64 (-.f64 (fma.f64 1/120 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 5)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 4) 1/24))) (fma.f64 -1/24 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 4)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 5) -1/120)))) (pow.f64 eps 4) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (*.f64 eps (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) 1/2))) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6)))))))))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))
(-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (neg.f64 (pow.f64 (exp.f64 (+.f64 eps 1)) (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) eps)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
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2
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(*.f64 (/.f64 (-.f64 1 (pow.f64 eps 3)) (+.f64 1 (fma.f64 eps eps eps))) x)
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) 1) (+.f64 1 eps))
(/.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 (+.f64 eps 1) x))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (-.f64 1 (*.f64 eps eps))) (/.f64 1 (-.f64 1 eps)))
(/.f64 (/.f64 x 1) (/.f64 1 (-.f64 1 eps)))
(*.f64 (-.f64 1 eps) (*.f64 1 x))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (*.f64 eps eps)))) (+.f64 1 eps))
(/.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 (+.f64 eps 1) x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) 1) (+.f64 1 eps))
(/.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 (+.f64 eps 1) x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (-.f64 1 (*.f64 eps eps))) (/.f64 1 (-.f64 1 eps)))
(/.f64 (/.f64 x 1) (/.f64 1 (-.f64 1 eps)))
(*.f64 (-.f64 1 eps) (*.f64 1 x))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (*.f64 eps eps)))) (+.f64 1 eps))
(/.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 (+.f64 eps 1) x))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (*.f64 (sqrt.f64 (+.f64 eps 1)) (sqrt.f64 (+.f64 eps 1))))
(/.f64 (-.f64 1 (*.f64 eps eps)) (*.f64 (sqrt.f64 (+.f64 eps 1)) (/.f64 (sqrt.f64 (+.f64 eps 1)) x)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (cbrt.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))
(/.f64 (/.f64 x (/.f64 (cbrt.f64 (+.f64 eps 1)) (-.f64 1 (*.f64 eps eps)))) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2))
(/.f64 x (*.f64 (cbrt.f64 (+.f64 eps 1)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (-.f64 1 (*.f64 eps eps)))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)))
(/.f64 (/.f64 x (/.f64 (cbrt.f64 (+.f64 eps 1)) (-.f64 1 (*.f64 eps eps)))) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2))
(/.f64 x (*.f64 (cbrt.f64 (+.f64 eps 1)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (-.f64 1 (*.f64 eps eps)))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 1 (pow.f64 eps 3))) (/.f64 1 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (*.f64 (/.f64 1 (+.f64 (*.f64 eps eps) (-.f64 1 eps))) (+.f64 1 (pow.f64 eps 3))))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (*.f64 (+.f64 1 (pow.f64 eps 3)) (/.f64 1 (+.f64 (*.f64 eps eps) (-.f64 1 eps)))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (pow.f64 eps 3)))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (-.f64 1 (pow.f64 eps 3))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 eps 3)) (+.f64 1 (fma.f64 eps eps eps))) x)
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) 1) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (-.f64 1 (pow.f64 eps 3))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 eps 3)) (+.f64 1 (fma.f64 eps eps eps))) x)
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 x (*.f64 (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (/.f64 (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (-.f64 1 (pow.f64 eps 3)))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))))
(/.f64 x (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (/.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (/.f64 (-.f64 1 (pow.f64 eps 3)) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps)))))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (*.f64 (sqrt.f64 (+.f64 eps 1)) (sqrt.f64 (+.f64 eps 1))))
(/.f64 (-.f64 1 (*.f64 eps eps)) (*.f64 (sqrt.f64 (+.f64 eps 1)) (/.f64 (sqrt.f64 (+.f64 eps 1)) x)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (cbrt.f64 (+.f64 1 eps))) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2))
(/.f64 (/.f64 x (/.f64 (cbrt.f64 (+.f64 eps 1)) (-.f64 1 (*.f64 eps eps)))) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2))
(/.f64 x (*.f64 (cbrt.f64 (+.f64 eps 1)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (-.f64 1 (*.f64 eps eps)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)))
(/.f64 (/.f64 x (/.f64 (cbrt.f64 (+.f64 eps 1)) (-.f64 1 (*.f64 eps eps)))) (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2))
(/.f64 x (*.f64 (cbrt.f64 (+.f64 eps 1)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 eps 1)) 2) (-.f64 1 (*.f64 eps eps)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (+.f64 1 (pow.f64 eps 3))) (/.f64 1 (+.f64 (-.f64 1 eps) (*.f64 eps eps))))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (*.f64 (/.f64 1 (+.f64 (*.f64 eps eps) (-.f64 1 eps))) (+.f64 1 (pow.f64 eps 3))))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (*.f64 (+.f64 1 (pow.f64 eps 3)) (/.f64 1 (+.f64 (*.f64 eps eps) (-.f64 1 eps)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (/.f64 (-.f64 1 (*.f64 eps eps)) (-.f64 1 (pow.f64 eps 3)))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (-.f64 1 (pow.f64 eps 3))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 eps 3)) (+.f64 1 (fma.f64 eps eps eps))) x)
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) 1) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 eps eps eps)) (-.f64 1 (pow.f64 eps 3))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 eps 3)) (+.f64 1 (fma.f64 eps eps eps))) x)
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps)))) (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 x (*.f64 (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (/.f64 (sqrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (-.f64 1 (pow.f64 eps 3)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))))))
(/.f64 x (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (/.f64 (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps))) (/.f64 (-.f64 1 (pow.f64 eps 3)) (cbrt.f64 (+.f64 1 (fma.f64 eps eps eps)))))))
(pow.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)) 1)
(*.f64 (-.f64 1 eps) (neg.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) 3)
(*.f64 (-.f64 1 eps) (neg.f64 x))
(pow.f64 (pow.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)) 3) 1/3)
(*.f64 (-.f64 1 eps) (neg.f64 x))
(neg.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))
(*.f64 (-.f64 1 eps) (neg.f64 (neg.f64 x)))
(*.f64 1 (*.f64 x (-.f64 1 eps)))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) x))
(*.f64 x (log.f64 (exp.f64 (-.f64 1 eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))))
(*.f64 (-.f64 1 eps) (neg.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)) 3))
(*.f64 (-.f64 1 eps) (neg.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 eps) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(*.f64 (-.f64 1 eps) (neg.f64 x))
(exp.f64 (log.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(*.f64 (-.f64 1 eps) (neg.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))) 1))
(*.f64 (-.f64 1 eps) (neg.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
(*.f64 (-.f64 1 eps) (neg.f64 x))

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (+.f64 eps -1))
0.0b
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
0.5b
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
6.3b
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
Compiler

Compiled 101 to 61 computations (39.6% saved)

series50.0ms (0.4%)

Counts
4 → 76
Calls

21 calls:

TimeVariablePointExpression
22.0ms
eps
@inf
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
8.0ms
eps
@-inf
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
7.0ms
eps
@inf
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
4.0ms
x
@0
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
3.0ms
eps
@-inf
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))

rewrite103.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1308×associate-/l*
886×associate-/r/
542×associate-/l/
392×add-sqr-sqrt
384×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018126
1386122
25057122
Stop Event
node limit
Counts
4 → 123
Calls
Call 1
Inputs
(fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))
(pow.f64 (exp.f64 (+.f64 eps -1)) x)
(/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))
(exp.f64 (+.f64 eps -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))) (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 (neg.f64 (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x)))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x))) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x)))) (neg.f64 (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x))) 1) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x))) 1) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (/.f64 (/.f64 1 eps) (exp.f64 (fma.f64 eps x x))) (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x))))) (-.f64 1 (exp.f64 (+.f64 (log1p.f64 (/.f64 1 eps)) (*.f64 (+.f64 eps -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 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(exp.f64 (fma.f64 eps x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 eps -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (+.f64 eps -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) (sqrt.f64 (exp.f64 (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) 2) (cbrt.f64 (exp.f64 (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -1) (exp.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 eps) (exp.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 eps -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (+.f64 eps -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 eps -1))) (sqrt.f64 (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 eps -1)) 2)) (cbrt.f64 (+.f64 eps -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 eps -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 eps -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 eps -1))))))))

simplify131.0ms (1%)

Algorithm
egg-herbie
Rules
1006×associate--l+
918×associate--r+
694×associate-*r*
586×fma-def
572×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049410411
114839651
261519561
Stop Event
node limit
Counts
199 → 279
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps)
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
2
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2)
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2))))
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 3))) (+.f64 (*.f64 1/6 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (+.f64 eps 1))) (*.f64 -1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3)))))) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 (-.f64 eps 1) x))) (/.f64 1 (exp.f64 (fma.f64 eps x x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
1
(+.f64 1 (*.f64 (-.f64 eps 1) x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 (-.f64 eps 1) x) (*.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(/.f64 -1 (*.f64 eps (exp.f64 x)))
(-.f64 (/.f64 1 (exp.f64 x)) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(/.f64 1 (exp.f64 (fma.f64 eps x x)))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(-.f64 1 (/.f64 1 eps))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x)))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (pow.f64 x 2))))) (/.f64 1 eps))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) x))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))))) (+.f64 1 eps))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 1 (/.f64 1 eps)))) (*.f64 1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (-.f64 1 (/.f64 1 eps)))))) (pow.f64 x 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (pow.f64 x 2)))))) (/.f64 1 eps))
(exp.f64 -1)
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(exp.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 -1 eps)) (fma.f64 eps x x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 eps -1)))) 1)
(*.f64 1 (exp.f64 (+.f64 eps -1)))
(*.f64 (exp.f64 (+.f64 eps -1)) 1)
(*.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) (sqrt.f64 (exp.f64 (+.f64 eps -1))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) 2) (cbrt.f64 (exp.f64 (+.f64 eps -1))))
(*.f64 (exp.f64 -1) (exp.f64 eps))
(*.f64 (exp.f64 eps) (exp.f64 -1))
(pow.f64 (exp.f64 (+.f64 eps -1)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 eps -1))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 eps -1))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 3) 1/3)
(pow.f64 (E.f64) (+.f64 eps -1))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 eps -1))) (sqrt.f64 (+.f64 eps -1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 eps -1)) 2)) (cbrt.f64 (+.f64 eps -1)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 eps -1))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 eps -1)))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 eps -1))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 eps -1))))
Outputs
(/.f64 (-.f64 (exp.f64 (*.f64 -1 x)) (/.f64 1 (exp.f64 x))) eps)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) eps)
0
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (*.f64 -1 x))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))) (+.f64 (/.f64 (/.f64 1 eps) (exp.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))
(+.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) 0) (/.f64 x (exp.f64 x)))
(+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x)))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (fma.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (+.f64 (exp.f64 (neg.f64 x)) (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))))) (+.f64 (/.f64 (/.f64 1 eps) (exp.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x))))
(fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x))))) (+.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) 0) (/.f64 x (exp.f64 x))))
(fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x))))) (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x))))
(-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (+.f64 (/.f64 1 (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (+.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (exp.f64 x))) (*.f64 (-.f64 (/.f64 1 (exp.f64 x)) (*.f64 -1 (/.f64 x (exp.f64 x)))) x)) x)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))))))) (+.f64 (/.f64 1 (*.f64 eps (exp.f64 x))) (*.f64 -1 (/.f64 x (exp.f64 x)))))
(-.f64 (fma.f64 eps (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (+.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))) (fma.f64 1/2 (*.f64 (*.f64 x x) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))) (fma.f64 -1 (*.f64 x (fma.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x)))))) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (exp.f64 x)))))))))) (+.f64 (/.f64 (/.f64 1 eps) (exp.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x))))
(+.f64 (fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x))))) (/.f64 (exp.f64 (neg.f64 x)) eps)) (-.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 (/.f64 1/6 (exp.f64 x)) (pow.f64 x 3) (*.f64 (*.f64 x x) (/.f64 1/2 (exp.f64 x)))) (fma.f64 1/2 (*.f64 x (*.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (-.f64 (/.f64 -1/6 (/.f64 (exp.f64 x) (pow.f64 x 3))) (*.f64 x (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)))))))) (exp.f64 (neg.f64 x)))) (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (/.f64 x (exp.f64 x)))))
(fma.f64 eps (-.f64 (fma.f64 1/2 (*.f64 x (/.f64 x (exp.f64 x))) (/.f64 x (exp.f64 x))) (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x))))) (+.f64 (+.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 (/.f64 1/6 (exp.f64 x)) (pow.f64 x 3) (*.f64 (*.f64 x x) (/.f64 1/2 (exp.f64 x)))) (fma.f64 1/2 (*.f64 x (*.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))) (-.f64 (/.f64 -1/6 (/.f64 (exp.f64 x) (pow.f64 x 3))) (*.f64 x (fma.f64 x (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (*.f64 -1/2 (/.f64 (*.f64 x x) (exp.f64 x)))))))) (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 (-.f64 eps 1) x)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (-.f64 eps 1)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))))
(+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) eps) (pow.f64 (exp.f64 x) (-.f64 eps 1))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))))
(+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) eps) (pow.f64 (exp.f64 x) (-.f64 eps 1))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (/.f64 (exp.f64 (*.f64 (-.f64 eps 1) x)) eps) (exp.f64 (*.f64 (-.f64 eps 1) x)))) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x)))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) x) eps) (pow.f64 (exp.f64 (-.f64 eps 1)) x)) (/.f64 1 (*.f64 eps (exp.f64 (fma.f64 eps x x))))))
(+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) eps) (pow.f64 (exp.f64 x) (-.f64 eps 1))) (/.f64 (+.f64 1 (/.f64 -1 eps)) (exp.f64 (fma.f64 eps x x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 (-.f64 eps 1)) x))
(+.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (-.f64 eps 1)))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (+.f64 (exp.f64 (*.f64 (+.f64 -1 (neg.f64 (neg.f64 eps))) x)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 (+.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 -1 (neg.f64 (neg.f64 eps))) x))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) eps)))
(+.f64 (-.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (-.f64 eps 1))) eps)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (+.f64 (exp.f64 (*.f64 (+.f64 -1 (neg.f64 (neg.f64 eps))) x)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 (+.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 -1 (neg.f64 (neg.f64 eps))) x))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) eps)))
(+.f64 (-.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (-.f64 eps 1))) eps)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (exp.f64 (fma.f64 eps x x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (+.f64 (exp.f64 (*.f64 (+.f64 -1 (neg.f64 (neg.f64 eps))) x)) (exp.f64 (neg.f64 (fma.f64 eps x x)))) (neg.f64 (/.f64 (+.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 -1 (neg.f64 (neg.f64 eps))) x))) (exp.f64 (neg.f64 (fma.f64 eps x x)))) eps)))
(+.f64 (-.f64 (pow.f64 (exp.f64 x) (-.f64 eps 1)) (/.f64 (-.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (pow.f64 (exp.f64 x) (-.f64 eps 1))) eps)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
2
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) 2)
(fma.f64 (-.f64 (*.f64 (-.f64 eps 1) (+.f64 1 (/.f64 1 eps))) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))) x 2)
(fma.f64 x (-.f64 (*.f64 (-.f64 eps 1) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 eps))) 2)
(fma.f64 x (fma.f64 (-.f64 eps 1) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) (-.f64 -1 (/.f64 -1 eps)))) 2)
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2))))
(+.f64 (fma.f64 (-.f64 (*.f64 (-.f64 eps 1) (+.f64 1 (/.f64 1 eps))) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))) x 2) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 eps))) (pow.f64 (-.f64 eps 1) 2)) (fma.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2)) (neg.f64 (*.f64 (+.f64 1 eps) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))))))))
(fma.f64 x (-.f64 (*.f64 (-.f64 eps 1) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 1 eps))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 eps 1) 2)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2)))) (neg.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2)))) 2))
(fma.f64 x (fma.f64 (-.f64 eps 1) (+.f64 1 (/.f64 1 eps)) (*.f64 (+.f64 1 eps) (-.f64 -1 (/.f64 -1 eps)))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 1/2 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 eps 1) 2)) (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2)))) (neg.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) (pow.f64 (+.f64 1 eps) 2)))) 2))
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (*.f64 (+.f64 eps 1) (-.f64 1 (/.f64 1 eps)))) x) (+.f64 2 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2))) (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (pow.f64 x 2)) (*.f64 (-.f64 (*.f64 1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 3))) (+.f64 (*.f64 1/6 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (-.f64 1 (/.f64 1 eps))))) (+.f64 eps 1))) (*.f64 -1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3)))))) (pow.f64 x 3)))))
(+.f64 (fma.f64 (-.f64 (*.f64 (-.f64 eps 1) (+.f64 1 (/.f64 1 eps))) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps))) x 2) (fma.f64 (-.f64 (*.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 eps))) (pow.f64 (-.f64 eps 1) 2)) (fma.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2)) (neg.f64 (*.f64 (+.f64 1 eps) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (*.f64 x x) (*.f64 (pow.f64 x 3) (-.f64 (*.f64 1/6 (*.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 eps 1) 3))) (fma.f64 -1 (*.f64 (+.f64 1 eps) (fma.f64 1/2 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 2)) (neg.f64 (*.f64 (+.f64 1 eps) (*.f64 (-.f64 1 (/.f64 1 eps)) (+.f64 1 eps)))))) (*.f64 (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (+.f64 1 eps) 3)) -1/3))))))
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1
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(sqrt.f64 (pow.f64 (exp.f64 (-.f64 eps 1)) 2))
(fabs.f64 (exp.f64 (-.f64 eps 1)))
(log.f64 (exp.f64 (exp.f64 (+.f64 eps -1))))
(exp.f64 (-.f64 eps 1))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 eps -1)))))
(exp.f64 (-.f64 eps 1))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 eps -1)) 3))
(exp.f64 (-.f64 eps 1))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 eps -1))))
(exp.f64 (-.f64 eps 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 eps -1))))
(exp.f64 (-.f64 eps 1))

eval805.0ms (5.9%)

Compiler

Compiled 42436 to 29846 computations (29.7% saved)

prune269.0ms (2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New8258833
Fresh000
Picked101
Done101
Total8278835
Error
0.0b
Counts
835 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
46.2b
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
0.3b
(/.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))) 2)
46.1b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 (+.f64 eps 1) (neg.f64 x))) -1))) 2)
1.4b
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
0.3b
(/.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x))) 2)
30.2b
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))) 2)
16.8b
(/.f64 2 2)
46.3b
(/.f64 0 2)
Compiler

Compiled 350 to 278 computations (20.6% saved)

localize42.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
0.0b
(*.f64 (exp.f64 (*.f64 -1 x)) x)
0.0b
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
Compiler

Compiled 114 to 88 computations (22.8% saved)

series2.0ms (0%)

Counts
3 → 16
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
0.0ms
x
@-inf
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
0.0ms
x
@0
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
0.0ms
x
@-inf
(*.f64 (exp.f64 (*.f64 -1 x)) x)
0.0ms
x
@inf
(*.f64 (exp.f64 (*.f64 -1 x)) x)

rewrite70.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1736×add-sqr-sqrt
1720×*-un-lft-identity
1600×add-cube-cbrt
260×pow1
244×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01277
126245
2381645
Stop Event
node limit
Counts
3 → 127
Calls
Call 1
Inputs
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (exp.f64 (*.f64 -1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 (*.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 x (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (exp.f64 (*.f64 -1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 2) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) (/.f64 (pow.f64 (exp.f64 (*.f64 -1 x)) 2) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 -1 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 -1 x)) (-.f64 x 1))))) 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simplify79.0ms (0.6%)

Algorithm
egg-herbie
Rules
1192×fma-def
954×unswap-sqr
674×distribute-lft-in
632×distribute-rgt-in
596×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02374481
15814123
230113369
Stop Event
node limit
Counts
143 → 176
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) 1)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))) 1)
(*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x))
(*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(-.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (exp.f64 (*.f64 -1 x)) x))
(-.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 2) (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))) (/.f64 (pow.f64 (exp.f64 (*.f64 -1 x)) 2) (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))))
(*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)))
(*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))
(*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 x 1))
(*.f64 (exp.f64 (*.f64 -1 x)) (-.f64 x 1))
(*.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)) -1)
(*.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)) 1)
(*.f64 1 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))))
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(*.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))) 2))
(*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)) 2) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 3) (exp.f64 (*.f64 x 3))) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 (*.f64 -1 x)) 2)))))
(*.f64 (*.f64 -1 (sqrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))) 2)) (cbrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))))
(*.f64 (+.f64 x 1) (exp.f64 (*.f64 -1 x)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (sqrt.f64 (exp.f64 (*.f64 -1 x)))) (-.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (sqrt.f64 (exp.f64 (*.f64 -1 x)))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 (*.f64 -1 x)) 2))) (+.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 3) (exp.f64 (*.f64 x 3)))))
(/.f64 1 (/.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)) (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)) 2)))
(/.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)) 2) (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 3) (exp.f64 (*.f64 x 3))) (-.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 (*.f64 -1 x)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 3) (exp.f64 (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 (*.f64 -1 x)) 2) (-.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 2) (*.f64 x (pow.f64 (exp.f64 (*.f64 -1 x)) 2)))))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 3) (exp.f64 (*.f64 x 3)))) (-.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 (*.f64 -1 x)) 2))))
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(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 3) (exp.f64 (*.f64 x 3))) (-.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 (*.f64 -1 x)) 2))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)) 2)) (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)))
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(pow.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)) 3) 1/3)
(neg.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))))
(log.f64 (/.f64 (pow.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 (*.f64 -1 x))) (exp.f64 (exp.f64 (*.f64 -1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))))
(exp.f64 (log.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))))
(fma.f64 -1 (exp.f64 (*.f64 -1 x)) (*.f64 (exp.f64 (*.f64 -1 x)) x))
(fma.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(fma.f64 x (exp.f64 (*.f64 -1 x)) (exp.f64 (*.f64 -1 x)))
(fma.f64 (exp.f64 (*.f64 -1 x)) -1 (*.f64 (exp.f64 (*.f64 -1 x)) x))
(fma.f64 (exp.f64 (*.f64 -1 x)) x (exp.f64 (*.f64 -1 x)))
(fma.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) -1 (exp.f64 (*.f64 -1 x)))
(fma.f64 1 (exp.f64 (*.f64 -1 x)) (*.f64 (exp.f64 (*.f64 -1 x)) x))
(fma.f64 1 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(fma.f64 (sqrt.f64 (exp.f64 (*.f64 -1 x))) (sqrt.f64 (exp.f64 (*.f64 -1 x))) (*.f64 (exp.f64 (*.f64 -1 x)) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x)) 2) (cbrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 x))) 2) (cbrt.f64 (exp.f64 (*.f64 -1 x))) (*.f64 (exp.f64 (*.f64 -1 x)) x))
(-.f64 0 (*.f64 (exp.f64 (*.f64 -1 x)) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x))) 1)
(pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x)) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 3) 1/3)
(neg.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 (*.f64 -1 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x)))
(exp.f64 (+.f64 x (log.f64 x)))
(exp.f64 (*.f64 (+.f64 x (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x)))
(-.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (exp.f64 (*.f64 -1 x)) x))
(-.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 2) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) (/.f64 (pow.f64 (exp.f64 (*.f64 -1 x)) 2) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))
(*.f64 -1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))
(*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))
(*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 x 1))
(*.f64 (exp.f64 (*.f64 -1 x)) (-.f64 x 1))
(*.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) -1)
(*.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) 1)
(*.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) (sqrt.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) 2) (cbrt.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))
(*.f64 (cbrt.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) 2))
(*.f64 (pow.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) 2) (/.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 3) (exp.f64 (*.f64 x 3))) (/.f64 1 (-.f64 (pow.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) 2) (*.f64 x (pow.f64 (exp.f64 (*.f64 -1 x)) 2)))))
(*.f64 (*.f64 -1 (sqrt.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))) (sqrt.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) 2)) (cbrt.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))
(*.f64 (+.f64 x 1) (exp.f64 (*.f64 -1 x)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (sqrt.f64 (exp.f64 (*.f64 -1 x)))) (-.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (sqrt.f64 (exp.f64 (*.f64 -1 x)))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) 2) (*.f64 x (pow.f64 (exp.f64 (*.f64 -1 x)) 2))) (+.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 3) (exp.f64 (*.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (pow.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) 2)))
(/.f64 (pow.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) 2) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 3) (exp.f64 (*.f64 x 3))) (-.f64 (pow.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) 2) (*.f64 x (pow.f64 (exp.f64 (*.f64 -1 x)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 3) (exp.f64 (*.f64 x 3))) (+.f64 (pow.f64 (exp.f64 (*.f64 -1 x)) 2) (-.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 2) (*.f64 x (pow.f64 (exp.f64 (*.f64 -1 x)) 2)))))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 3) (exp.f64 (*.f64 x 3)))) (-.f64 (pow.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) 2) (*.f64 x (pow.f64 (exp.f64 (*.f64 -1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 x)) 2) (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 2)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 3) (exp.f64 (*.f64 x 3))) (-.f64 (pow.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) 2) (*.f64 x (pow.f64 (exp.f64 (*.f64 -1 x)) 2))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) 2)) (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 3) (exp.f64 (*.f64 x 3)))) (neg.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) 2) (*.f64 x (pow.f64 (exp.f64 (*.f64 -1 x)) 2)))))
(pow.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) 3) 1/3)
(neg.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 (*.f64 -1 x)) (exp.f64 (*.f64 -1 x))) (exp.f64 (exp.f64 (*.f64 -1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (log.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))
(fma.f64 -1 (exp.f64 (*.f64 -1 x)) (*.f64 (exp.f64 (*.f64 -1 x)) x))
(fma.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(fma.f64 x (exp.f64 (*.f64 -1 x)) (exp.f64 (*.f64 -1 x)))
(fma.f64 (exp.f64 (*.f64 -1 x)) -1 (*.f64 (exp.f64 (*.f64 -1 x)) x))
(fma.f64 (exp.f64 (*.f64 -1 x)) x (exp.f64 (*.f64 -1 x)))
(fma.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) -1 (exp.f64 (*.f64 -1 x)))
(fma.f64 1 (exp.f64 (*.f64 -1 x)) (*.f64 (exp.f64 (*.f64 -1 x)) x))
(fma.f64 1 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(fma.f64 (sqrt.f64 (exp.f64 (*.f64 -1 x))) (sqrt.f64 (exp.f64 (*.f64 -1 x))) (*.f64 (exp.f64 (*.f64 -1 x)) x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x)) 2) (cbrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 x))) 2) (cbrt.f64 (exp.f64 (*.f64 -1 x))) (*.f64 (exp.f64 (*.f64 -1 x)) x))
Outputs
-1
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(fma.f64 1/2 (*.f64 x x) -1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) 1)
(+.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3))) -1)
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) -1))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3)))) -1)
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) -1)))
(*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x))
(*.f64 (exp.f64 (neg.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 x) (exp.f64 x))
(*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x))
(*.f64 (exp.f64 (neg.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 x) (exp.f64 x))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) x))
(fma.f64 1/2 (pow.f64 x 3) (-.f64 x (*.f64 x x)))
(-.f64 (fma.f64 1/2 (pow.f64 x 3) x) (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x)))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (fma.f64 -1/6 (pow.f64 x 4) x)))
(fma.f64 1/2 (pow.f64 x 3) (-.f64 (fma.f64 (pow.f64 x 4) -1/6 x) (*.f64 x x)))
(-.f64 (fma.f64 1/2 (pow.f64 x 3) (fma.f64 (pow.f64 x 4) -1/6 x)) (*.f64 x x))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(fma.f64 x (*.f64 x -1/2) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 3) 1/3)))
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (*.f64 (pow.f64 x 3) 1/3)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 3) 1/3 1))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 1 (fma.f64 (*.f64 x x) -1/2 (fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3)))))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(*.f64 (exp.f64 (*.f64 -1 x)) x)
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) (*.f64 (exp.f64 (*.f64 -1 x)) x))
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))
(-.f64 0 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 x)))
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 1 x))
(-.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(-.f64 (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)))) 1)
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 2) (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))) (/.f64 (pow.f64 (exp.f64 (*.f64 -1 x)) 2) (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (exp.f64 (neg.f64 x))) 2) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (exp.f64 (neg.f64 x))) 2) (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))))
(-.f64 0 (/.f64 (-.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (/.f64 x (exp.f64 x)) 2)) (exp.f64 (-.f64 (log1p.f64 x) x))))
(*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)))
(*.f64 (exp.f64 (neg.f64 x)) (neg.f64 (+.f64 x 1)))
(neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x))))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 x 1))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 (exp.f64 (*.f64 -1 x)) (-.f64 x 1))
(-.f64 (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 x))
(*.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)) -1)
(*.f64 (exp.f64 (neg.f64 x)) (neg.f64 (+.f64 x 1)))
(neg.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x))))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(*.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)) 1)
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 1 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))) 2) (cbrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))) 2))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)) 2) (/.f64 1 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(*.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) 3) (exp.f64 (*.f64 x 3))) (/.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 x)) (+.f64 1 x)) 2) (*.f64 x (pow.f64 (exp.f64 (*.f64 -1 x)) 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 (neg.f64 x))) 3) (pow.f64 (exp.f64 x) 3)) 1) (-.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1)) 2) (*.f64 x (pow.f64 (exp.f64 (neg.f64 x)) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (exp.f64 (neg.f64 x))) 3) (pow.f64 (exp.f64 3) x)) (-.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x))) 2) (*.f64 x (pow.f64 (exp.f64 (neg.f64 x)) 2))))
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(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) 1))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(fma.f64 -1 (exp.f64 (*.f64 -1 x)) (*.f64 (exp.f64 (*.f64 -1 x)) x))
(-.f64 (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 x))
(fma.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))
(-.f64 0 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 x)))
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 1 x))
(fma.f64 x (exp.f64 (*.f64 -1 x)) (exp.f64 (*.f64 -1 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(fma.f64 (exp.f64 (*.f64 -1 x)) -1 (*.f64 (exp.f64 (*.f64 -1 x)) x))
(-.f64 (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 x))
(fma.f64 (exp.f64 (*.f64 -1 x)) x (exp.f64 (*.f64 -1 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(fma.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) -1 (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))
(-.f64 0 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 x)))
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 1 x))
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(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))
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(fma.f64 1 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
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(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
(fma.f64 (sqrt.f64 (exp.f64 (*.f64 -1 x))) (sqrt.f64 (exp.f64 (*.f64 -1 x))) (*.f64 (exp.f64 (*.f64 -1 x)) x))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))
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(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
(exp.f64 (+.f64 (neg.f64 x) (log1p.f64 x)))
(exp.f64 (-.f64 (log1p.f64 x) x))
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(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))
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(exp.f64 (-.f64 (log1p.f64 x) x))

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
0.0b
(*.f64 (+.f64 1 eps) (neg.f64 x))
0.0b
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
5.5b
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
Compiler

Compiled 91 to 64 computations (29.7% saved)

series4.0ms (0%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 (+.f64 1 eps) (neg.f64 x))
0.0ms
eps
@0
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
0.0ms
x
@0
(*.f64 (+.f64 1 eps) (neg.f64 x))
0.0ms
x
@0
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
0.0ms
eps
@-inf
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))

rewrite184.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
962×associate-/r*
610×associate-/r/
492×associate-/l*
442×associate-+l+
364×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01695
135683
2489283
Stop Event
node limit
Counts
3 → 230
Calls
Call 1
Inputs
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(*.f64 (+.f64 1 eps) (neg.f64 x))
(exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) 2) (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) 2)) (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 (+.f64 1 eps) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 1 eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) (sqrt.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) 2)) (cbrt.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))))

simplify232.0ms (1.7%)

Algorithm
egg-herbie
Rules
862×associate-+r-
802×fma-def
780×associate-*r*
716×+-commutative
566×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063223954
1179321708
2739921708
Stop Event
node limit
Counts
302 → 415
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) eps)
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (*.f64 -1 (exp.f64 (*.f64 -1 x))))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (*.f64 -1 (exp.f64 (*.f64 -1 x))))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (*.f64 -1 (exp.f64 (*.f64 -1 x))))))
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps)) 1)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps)) 1)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps)) 1)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
2
(+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)))
(+.f64 2 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))))))
(+.f64 (*.f64 1/6 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))) (+.f64 2 (+.f64 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x)) (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2)))))))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(*.f64 -1 x)
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3))))))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (-.f64 1 (/.f64 1 eps)))))
(+.f64 1 (+.f64 (/.f64 1 eps) (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (-.f64 1 (/.f64 1 eps))) 1)))
(+.f64 1 (+.f64 (+.f64 (/.f64 1 eps) (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (-.f64 1 (/.f64 1 eps)))) (fma.f64 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (-.f64 1 (/.f64 1 eps))) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1 eps) (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (-.f64 1 (/.f64 1 eps)))) (fma.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1 eps) (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (-.f64 1 (/.f64 1 eps)))) (fma.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1 eps) (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (-.f64 1 (/.f64 1 eps)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))) (sqrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1 eps) (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (-.f64 1 (/.f64 1 eps)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))
(+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (-.f64 1 (/.f64 1 eps)))))
(+.f64 (/.f64 1 eps) (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (-.f64 1 (/.f64 1 eps)))) 1))
(+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (-.f64 1 (/.f64 1 eps))) 1)))
(+.f64 (/.f64 1 eps) (+.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (-.f64 1 (/.f64 1 eps)))) (fma.f64 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (-.f64 1 (/.f64 1 eps))) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))
(+.f64 (/.f64 1 eps) (+.f64 (*.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (-.f64 1 (/.f64 1 eps)))) 1) (fma.f64 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (-.f64 1 (/.f64 1 eps))) 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))
(+.f64 (/.f64 1 eps) (+.f64 (+.f64 1 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (-.f64 1 (/.f64 1 eps)))) (fma.f64 (neg.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) -1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))
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(pow.f64 (pow.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2))
(log.f64 (exp.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))))
(cbrt.f64 (pow.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 3))
(expm1.f64 (log1p.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))
(exp.f64 (log.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))) 1))
(log1p.f64 (expm1.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))
(fma.f64 1 (/.f64 1 eps) (+.f64 1 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (-.f64 1 (/.f64 1 eps)))))
(fma.f64 1 (+.f64 (/.f64 1 eps) 1) (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (-.f64 1 (/.f64 1 eps))))
(fma.f64 (hypot.f64 1 (pow.f64 eps -1/2)) (hypot.f64 1 (pow.f64 eps -1/2)) (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (-.f64 1 (/.f64 1 eps))))
(fma.f64 (pow.f64 eps -1/2) (pow.f64 eps -1/2) (+.f64 1 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (-.f64 1 (/.f64 1 eps)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 eps) 1)) 2) (cbrt.f64 (+.f64 (/.f64 1 eps) 1)) (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (-.f64 1 (/.f64 1 eps))))
(fma.f64 (cbrt.f64 (pow.f64 eps -2)) (/.f64 1 (cbrt.f64 eps)) (+.f64 1 (*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) (-.f64 1 (/.f64 1 eps)))))
(+.f64 x (*.f64 x eps))
(+.f64 x (*.f64 eps x))
(+.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)) 0)
(+.f64 0 (*.f64 (+.f64 1 eps) (neg.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))) (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2)))
(+.f64 (*.f64 x eps) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(+.f64 (+.f64 0 (*.f64 x eps)) x)
(+.f64 (+.f64 0 (*.f64 eps x)) x)
(+.f64 (+.f64 (*.f64 x eps) 0) x)
(+.f64 (+.f64 (*.f64 eps x) 0) x)
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 1)
(-.f64 x (*.f64 x eps))
(-.f64 x (*.f64 eps x))
(-.f64 0 (*.f64 (+.f64 1 eps) (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 x eps)))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 eps x)))
(-.f64 (+.f64 (*.f64 x eps) 0) x)
(-.f64 (+.f64 (*.f64 eps x) 0) x)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 1)
(-.f64 (+.f64 (*.f64 x eps) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 (*.f64 eps x) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (-.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(-.f64 (-.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))))
(-.f64 (-.f64 0 (*.f64 x eps)) x)
(-.f64 (-.f64 0 (*.f64 eps x)) x)
(/.f64 x (/.f64 1 (+.f64 1 eps)))
(/.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 (-.f64 1 eps) x))
(/.f64 (+.f64 1 (pow.f64 eps 3)) (/.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps)) x))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (-.f64 1 eps))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) 1) (-.f64 1 eps))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (sqrt.f64 (-.f64 1 eps))) (sqrt.f64 (-.f64 1 eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (*.f64 (cbrt.f64 (-.f64 1 eps)) (cbrt.f64 (-.f64 1 eps)))) (cbrt.f64 (-.f64 1 eps)))
(/.f64 (/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) 1) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))
(/.f64 (/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps)))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps))))
(/.f64 (/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps))))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) 1) (-.f64 1 eps))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (sqrt.f64 (-.f64 1 eps))) (sqrt.f64 (-.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (*.f64 (cbrt.f64 (-.f64 1 eps)) (cbrt.f64 (-.f64 1 eps)))) (cbrt.f64 (-.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) 1) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps)))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps))))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps))))
(pow.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)) 3) 1/3)
(neg.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 eps) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 eps)) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 1)
(*.f64 1 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
(*.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) 1)
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) 2) (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(/.f64 1 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
(/.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) 1)
(/.f64 (/.f64 1 (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(/.f64 (/.f64 1 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) 2))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) 2)) (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(pow.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) 3)
(pow.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) 3) 1/3)
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(pow.f64 (E.f64) (*.f64 (+.f64 1 eps) (neg.f64 x)))
(pow.f64 (exp.f64 (+.f64 1 eps)) x)
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) (sqrt.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) 2)) (cbrt.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) -1) x)
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) 2))
(log.f64 (exp.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
Outputs
(/.f64 (-.f64 1 (exp.f64 (*.f64 -1 x))) eps)
(/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) eps)
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (*.f64 -1 (exp.f64 (*.f64 -1 x))))))
(+.f64 (/.f64 1 eps) (-.f64 1 (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (neg.f64 (exp.f64 (neg.f64 x)))))))
(+.f64 1 (-.f64 (/.f64 1 eps) (-.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x))))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (*.f64 -1 (exp.f64 (*.f64 -1 x))))))
(+.f64 (/.f64 1 eps) (-.f64 (+.f64 1 (*.f64 (neg.f64 eps) (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))))) (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (neg.f64 (exp.f64 (neg.f64 x)))))))
(+.f64 (-.f64 1 (*.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (*.f64 1/2 (*.f64 x x)) (exp.f64 (neg.f64 x)))))) (-.f64 (/.f64 1 eps) (-.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x))))))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (*.f64 -1 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 x)) eps) (*.f64 -1 (exp.f64 (*.f64 -1 x))))))
(+.f64 (/.f64 1 eps) (-.f64 (+.f64 1 (*.f64 -1 (+.f64 (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))))) (*.f64 (*.f64 eps eps) (fma.f64 -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)))))))) (fma.f64 -1 (*.f64 x (exp.f64 (neg.f64 x))) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (neg.f64 (exp.f64 (neg.f64 x)))))))
(+.f64 (fma.f64 -1 (fma.f64 eps (fma.f64 x (exp.f64 (neg.f64 x)) (*.f64 (*.f64 1/2 (*.f64 x x)) (exp.f64 (neg.f64 x)))) (*.f64 eps (*.f64 eps (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) -1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) -1/6)))))) 1) (-.f64 (/.f64 1 eps) (-.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x))))))
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(+.f64 (/.f64 1 eps) (-.f64 1 (+.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))))
(+.f64 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(-.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (+.f64 1 (/.f64 1 eps))) (/.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) eps))
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(+.f64 (/.f64 1 eps) (-.f64 1 (+.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))))
(+.f64 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(-.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (+.f64 1 (/.f64 1 eps))) (/.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) eps))
(-.f64 (+.f64 (/.f64 1 eps) 1) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) eps) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(+.f64 (/.f64 1 eps) (-.f64 1 (+.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))))
(+.f64 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(-.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (+.f64 1 (/.f64 1 eps))) (/.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) eps))
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(+.f64 1 (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(-.f64 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) eps)) 1)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(+.f64 (/.f64 1 eps) (-.f64 1 (+.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))))
(+.f64 1 (-.f64 (/.f64 1 eps) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
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(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) 2) (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(/.f64 1 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
(exp.f64 (neg.f64 (neg.f64 (fma.f64 x eps x))))
(exp.f64 (fma.f64 x eps x))
(/.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) 1)
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(/.f64 (/.f64 1 (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(exp.f64 (neg.f64 (neg.f64 (fma.f64 x eps x))))
(exp.f64 (fma.f64 x eps x))
(/.f64 (/.f64 1 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) 2))
(exp.f64 (neg.f64 (neg.f64 (fma.f64 x eps x))))
(exp.f64 (fma.f64 x eps x))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) 2)) (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(exp.f64 (neg.f64 (neg.f64 (fma.f64 x eps x))))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) 1)
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(pow.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) 2)
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) 3)
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(pow.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) 3) 1/3)
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(pow.f64 (E.f64) (*.f64 (+.f64 1 eps) (neg.f64 x)))
(pow.f64 (E.f64) (neg.f64 (fma.f64 x eps x)))
(pow.f64 (E.f64) (*.f64 x (-.f64 -1 eps)))
(pow.f64 (exp.f64 (+.f64 1 eps)) x)
(exp.f64 (neg.f64 (neg.f64 (fma.f64 x eps x))))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))) (sqrt.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) 2)) (cbrt.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) -1) x)
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) 2))
(sqrt.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) 2))
(fabs.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))
(fabs.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(log.f64 (exp.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))) 3))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)

localize56.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
0.0b
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
0.0b
(*.f64 (+.f64 eps 1) x)
0.0b
(*.f64 (-.f64 1 eps) x)
Compiler

Compiled 103 to 77 computations (25.2% saved)

series3.0ms (0%)

Counts
4 → 64
Calls

24 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 (+.f64 eps 1) x)
0.0ms
x
@0
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
0.0ms
x
@0
(*.f64 (+.f64 eps 1) x)
0.0ms
x
@-inf
(*.f64 (+.f64 eps 1) x)
0.0ms
x
@0
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))

rewrite107.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1500×associate-*r/
1234×associate-*l/
448×associate-/r*
312×associate-/l*
302×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01568
130760
2387560
Stop Event
node limit
Counts
4 → 331
Calls
Call 1
Inputs
(*.f64 (-.f64 1 eps) x)
(*.f64 (+.f64 eps 1) x)
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
Outputs
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x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 x) (*.f64 x (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 x) (*.f64 (neg.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 eps) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 (+.f64 1 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 eps 3)) (/.f64 (+.f64 1 (fma.f64 eps 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eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -1 x) (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -1 x) (/.f64 (-.f64 1 (*.f64 eps eps)) 1)) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -1 x) (/.f64 (-.f64 1 (*.f64 eps eps)) (hypot.f64 1 (sqrt.f64 eps)))) (hypot.f64 1 (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -1 x) (/.f64 (-.f64 1 (*.f64 eps eps)) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2)))) (cbrt.f64 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -1 x) (-.f64 1 (*.f64 (neg.f64 eps) (neg.f64 eps)))) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -1 x) (+.f64 1 (pow.f64 (neg.f64 eps) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 eps) (neg.f64 eps)) (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -1 x) (neg.f64 (-.f64 1 (*.f64 eps 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) 2) (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) 2)) (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (+.f64 eps 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 (+.f64 eps 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (*.f64 (+.f64 eps 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 eps 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 -1 eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 eps 1) x)) 2)) (cbrt.f64 (*.f64 (+.f64 eps 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 eps 1) x))) (sqrt.f64 (*.f64 (+.f64 eps 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -1) x) (+.f64 eps 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -1) (+.f64 eps 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 (*.f64 (+.f64 eps 1) x))) (sqrt.f64 (*.f64 (+.f64 eps 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 (*.f64 (+.f64 eps 1) x)) 2)) (cbrt.f64 (*.f64 (+.f64 eps 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))))

simplify159.0ms (1.2%)

Algorithm
egg-herbie
Rules
1436×associate-/l*
844×associate-+r-
784×associate-*r*
674×+-commutative
596×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077111949
1190710537
2748410537
Stop Event
node limit
Counts
395 → 491
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
x
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(+.f64 (*.f64 eps x) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(*.f64 (+.f64 1 eps) x)
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
1
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (-.f64 1 eps) 3) (pow.f64 x 3))))))
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 eps) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(+.f64 x (*.f64 x (neg.f64 eps)))
(+.f64 x (*.f64 (neg.f64 eps) x))
(+.f64 (*.f64 (-.f64 1 eps) x) 0)
(+.f64 0 (*.f64 (-.f64 1 eps) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(+.f64 (*.f64 x (neg.f64 eps)) x)
(+.f64 (*.f64 (neg.f64 eps) x) x)
(+.f64 (+.f64 0 x) (*.f64 x (neg.f64 eps)))
(+.f64 (+.f64 0 x) (*.f64 (neg.f64 eps) x))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))) 1)
(-.f64 0 (*.f64 (-.f64 1 eps) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 x (neg.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (neg.f64 eps) x)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 eps) x)))) 1)
(-.f64 (-.f64 0 x) (*.f64 x (neg.f64 eps)))
(-.f64 (-.f64 0 x) (*.f64 (neg.f64 eps) x))
(-.f64 (-.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(-.f64 (-.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps))) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1 eps)))))
(/.f64 x (/.f64 1 (-.f64 1 eps)))
(/.f64 (*.f64 (-.f64 1 eps) x) 1)
(/.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 (+.f64 1 eps) x))
(/.f64 (-.f64 1 (pow.f64 eps 3)) (/.f64 (+.f64 1 (fma.f64 eps eps eps)) x))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 (*.f64 x (-.f64 1 (pow.f64 eps 3))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) x) (+.f64 1 eps))
(/.f64 (*.f64 (-.f64 1 (pow.f64 eps 3)) x) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 (*.f64 -1 x) 1) (/.f64 1 (-.f64 1 eps)))
(/.f64 (*.f64 (*.f64 -1 x) (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 (*.f64 (neg.f64 x) 1) (/.f64 1 (-.f64 1 eps)))
(/.f64 (*.f64 (neg.f64 x) (-.f64 1 (*.f64 eps eps))) (+.f64 1 eps))
(/.f64 (*.f64 1 (*.f64 x (-.f64 1 (*.f64 eps eps)))) (+.f64 1 eps))
(/.f64 (*.f64 1 (*.f64 x (-.f64 1 (pow.f64 eps 3)))) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 1 (*.f64 (-.f64 1 (*.f64 eps eps)) x)) (+.f64 1 eps))
(/.f64 (*.f64 1 (*.f64 (-.f64 1 (pow.f64 eps 3)) x)) (+.f64 1 (fma.f64 eps eps eps)))
(/.f64 (*.f64 x (/.f64 (-.f64 1 (*.f64 eps eps)) 1)) (+.f64 1 eps))
(/.f64 (*.f64 x (/.f64 (-.f64 1 (*.f64 eps eps)) (hypot.f64 1 (sqrt.f64 eps)))) (hypot.f64 1 (sqrt.f64 eps)))
(/.f64 (*.f64 x (/.f64 (-.f64 1 (*.f64 eps eps)) (cbrt.f64 (pow.f64 (+.f64 1 eps) 2)))) (cbrt.f64 (+.f64 1 eps)))
(/.f64 (*.f64 x (-.f64 1 (*.f64 (neg.f64 eps) (neg.f64 eps)))) (+.f64 1 eps))
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(/.f64 (*.f64 (fma.f64 eps eps -1) (*.f64 x -1)) (+.f64 eps -1))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) (*.f64 x -1)) (-.f64 1 eps))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (*.f64 x -1)) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (*.f64 (neg.f64 (fma.f64 eps eps -1)) (*.f64 x -1)) (neg.f64 (+.f64 eps -1)))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 eps 3))) (*.f64 x -1)) (neg.f64 (fma.f64 eps eps (-.f64 1 eps))))
(/.f64 (*.f64 1 (neg.f64 x)) (/.f64 1 (+.f64 eps 1)))
(/.f64 (*.f64 (fma.f64 eps eps -1) (neg.f64 x)) (+.f64 eps -1))
(/.f64 (*.f64 (-.f64 1 (*.f64 eps eps)) (neg.f64 x)) (-.f64 1 eps))
(/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) (neg.f64 x)) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (*.f64 (neg.f64 (fma.f64 eps eps -1)) (neg.f64 x)) (neg.f64 (+.f64 eps -1)))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 eps 3))) (neg.f64 x)) (neg.f64 (fma.f64 eps eps (-.f64 1 eps))))
(/.f64 (*.f64 (*.f64 x (fma.f64 eps eps -1)) 1) (+.f64 eps -1))
(/.f64 (*.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) 1) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (*.f64 (*.f64 (fma.f64 eps eps -1) x) 1) (+.f64 eps -1))
(/.f64 (*.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) 1) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (*.f64 (*.f64 x (fma.f64 eps eps -1)) -1) (+.f64 eps -1))
(/.f64 (*.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) -1) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (*.f64 (*.f64 (fma.f64 eps eps -1) x) -1) (+.f64 eps -1))
(/.f64 (*.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) -1) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 eps 3))) (*.f64 (hypot.f64 1 (sqrt.f64 eps)) x)) (sqrt.f64 (fma.f64 eps eps (-.f64 1 eps))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 eps eps -1)) (*.f64 (hypot.f64 1 (sqrt.f64 eps)) x)) (sqrt.f64 (+.f64 eps -1)))
(/.f64 (*.f64 (*.f64 -1 (fma.f64 eps eps -1)) x) (+.f64 eps -1))
(/.f64 (*.f64 (*.f64 -1 (+.f64 1 (pow.f64 eps 3))) x) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (/.f64 (*.f64 x (fma.f64 eps eps -1)) 1) (+.f64 eps -1))
(/.f64 (/.f64 (*.f64 x (fma.f64 eps eps -1)) (sqrt.f64 (+.f64 eps -1))) (sqrt.f64 (+.f64 eps -1)))
(/.f64 (/.f64 (*.f64 x (fma.f64 eps eps -1)) (*.f64 (cbrt.f64 (+.f64 eps -1)) (cbrt.f64 (+.f64 eps -1)))) (cbrt.f64 (+.f64 eps -1)))
(/.f64 (/.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 1 (sqrt.f64 eps))) (-.f64 (sqrt.f64 eps) 1))
(/.f64 (/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) 1) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (sqrt.f64 (fma.f64 eps eps (-.f64 1 eps)))) (sqrt.f64 (fma.f64 eps eps (-.f64 1 eps))))
(/.f64 (/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (*.f64 (cbrt.f64 (fma.f64 eps eps (-.f64 1 eps))) (cbrt.f64 (fma.f64 eps eps (-.f64 1 eps))))) (cbrt.f64 (fma.f64 eps eps (-.f64 1 eps))))
(/.f64 (/.f64 (*.f64 (fma.f64 eps eps -1) x) 1) (+.f64 eps -1))
(/.f64 (/.f64 (*.f64 (fma.f64 eps eps -1) x) (sqrt.f64 (+.f64 eps -1))) (sqrt.f64 (+.f64 eps -1)))
(/.f64 (/.f64 (*.f64 (fma.f64 eps eps -1) x) (*.f64 (cbrt.f64 (+.f64 eps -1)) (cbrt.f64 (+.f64 eps -1)))) (cbrt.f64 (+.f64 eps -1)))
(/.f64 (/.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 1 (sqrt.f64 eps))) (-.f64 (sqrt.f64 eps) 1))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) 1) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (sqrt.f64 (fma.f64 eps eps (-.f64 1 eps)))) (sqrt.f64 (fma.f64 eps eps (-.f64 1 eps))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (*.f64 (cbrt.f64 (fma.f64 eps eps (-.f64 1 eps))) (cbrt.f64 (fma.f64 eps eps (-.f64 1 eps))))) (cbrt.f64 (fma.f64 eps eps (-.f64 1 eps))))
(pow.f64 (*.f64 (+.f64 eps 1) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 eps 1) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 eps 1) x)) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 eps 1) x) 3) 1/3)
(neg.f64 (*.f64 (+.f64 eps 1) x))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 eps 1) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 eps 1) x))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 eps 1) x) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 eps)) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 eps 1) x)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) 1)
(*.f64 1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(*.f64 (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) 2) (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))))
(/.f64 1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(/.f64 (/.f64 1 (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))))
(/.f64 (/.f64 1 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) 2))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) 2)) (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))))
(pow.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(pow.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) -1)
(pow.f64 (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) 3)
(pow.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 3) 1/3)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))
(pow.f64 (exp.f64 -1) (*.f64 (-.f64 1 eps) x))
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 2)) (cbrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)
(pow.f64 (pow.f64 (exp.f64 -1) (-.f64 1 eps)) x)
(pow.f64 (pow.f64 (exp.f64 -1) x) (-.f64 1 eps))
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 2)) (cbrt.f64 (*.f64 (-.f64 1 eps) x)))
(sqrt.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 2))
(log.f64 (exp.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))))
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 1)
(*.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 1)
(*.f64 (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) 2) (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(/.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 1)
(/.f64 (/.f64 1 (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(/.f64 (/.f64 1 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) 2))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) 2)) (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 1)
(pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) -1)
(pow.f64 (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) 3)
(pow.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3) 1/3)
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(pow.f64 (E.f64) (*.f64 (+.f64 eps 1) x))
(pow.f64 (exp.f64 -1) (*.f64 (+.f64 eps 1) x))
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 eps 1) x)) 2)) (cbrt.f64 (*.f64 (+.f64 eps 1) x)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 eps 1) x))) (sqrt.f64 (*.f64 (+.f64 eps 1) x)))
(pow.f64 (pow.f64 (exp.f64 -1) x) (+.f64 eps 1))
(pow.f64 (pow.f64 (exp.f64 -1) (+.f64 eps 1)) x)
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 (*.f64 (+.f64 eps 1) x))) (sqrt.f64 (*.f64 (+.f64 eps 1) x)))
(pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 (*.f64 (+.f64 eps 1) x)) 2)) (cbrt.f64 (*.f64 (+.f64 eps 1) x)))
(sqrt.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2))
(log.f64 (exp.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
Outputs
x
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(*.f64 -1 (*.f64 eps x))
(*.f64 x (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) x)
(*.f64 x (-.f64 1 eps))
(-.f64 x (*.f64 x eps))
x
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(+.f64 (*.f64 eps x) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(*.f64 (+.f64 1 eps) x)
(fma.f64 x eps x)
(exp.f64 (*.f64 -1 x))
(exp.f64 (neg.f64 x))
(+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))
(fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x))))
(fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 eps eps))) (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x)) (exp.f64 (*.f64 -1 x)))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) (*.f64 eps eps)) (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))))
(fma.f64 1/6 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3))) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 eps eps))) (fma.f64 eps (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
1
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) 1)
(fma.f64 -1 (*.f64 x (-.f64 1 eps)) 1)
(fma.f64 (+.f64 -1 eps) x 1)
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 (-.f64 1 eps) 2) (pow.f64 x 2)))))
(+.f64 (fma.f64 -1 (*.f64 x (-.f64 1 eps)) 1) (*.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 eps) 2))))
(fma.f64 (+.f64 -1 eps) x (fma.f64 1/2 (pow.f64 (-.f64 x (*.f64 x eps)) 2) 1))
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(+.f64 (fma.f64 -1 (*.f64 x (-.f64 1 eps)) 1) (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 eps) 2)) (*.f64 -1/6 (pow.f64 (*.f64 x (-.f64 1 eps)) 3))))
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(/.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 -1 eps))
(*.f64 (/.f64 x (+.f64 -1 eps)) (fma.f64 eps eps -1))
(/.f64 (/.f64 (*.f64 (fma.f64 eps eps -1) x) (*.f64 (cbrt.f64 (+.f64 eps -1)) (cbrt.f64 (+.f64 eps -1)))) (cbrt.f64 (+.f64 eps -1)))
(/.f64 (*.f64 x (fma.f64 eps eps -1)) (+.f64 -1 eps))
(*.f64 (/.f64 x (+.f64 -1 eps)) (fma.f64 eps eps -1))
(/.f64 (/.f64 (*.f64 (fma.f64 eps eps -1) x) (+.f64 1 (sqrt.f64 eps))) (-.f64 (sqrt.f64 eps) 1))
(/.f64 (/.f64 (fma.f64 eps eps -1) (/.f64 (+.f64 1 (sqrt.f64 eps)) x)) (+.f64 (sqrt.f64 eps) -1))
(*.f64 (/.f64 x (+.f64 -1 (sqrt.f64 eps))) (/.f64 (fma.f64 eps eps -1) (+.f64 1 (sqrt.f64 eps))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) 1) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (+.f64 x (*.f64 x (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (sqrt.f64 (fma.f64 eps eps (-.f64 1 eps)))) (sqrt.f64 (fma.f64 eps eps (-.f64 1 eps))))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (+.f64 x (*.f64 x (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 eps 3)) x) (*.f64 (cbrt.f64 (fma.f64 eps eps (-.f64 1 eps))) (cbrt.f64 (fma.f64 eps eps (-.f64 1 eps))))) (cbrt.f64 (fma.f64 eps eps (-.f64 1 eps))))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 1 eps)))
(/.f64 (+.f64 x (*.f64 x (pow.f64 eps 3))) (fma.f64 eps eps (-.f64 1 eps)))
(pow.f64 (*.f64 (+.f64 eps 1) x) 1)
(fma.f64 x eps x)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 eps 1) x)) 2)
(fma.f64 x eps x)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 eps 1) x)) 3)
(fma.f64 x eps x)
(pow.f64 (pow.f64 (*.f64 (+.f64 eps 1) x) 3) 1/3)
(fma.f64 x eps x)
(neg.f64 (*.f64 (+.f64 eps 1) x))
(neg.f64 (fma.f64 x eps x))
(*.f64 x (-.f64 -1 eps))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 eps 1) x) 2))
(sqrt.f64 (pow.f64 (fma.f64 x eps x) 2))
(fabs.f64 (fma.f64 x eps x))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 eps 1)))
(fma.f64 x eps x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 eps 1) x))))
(fma.f64 x eps x)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 eps 1) x) 3))
(fma.f64 x eps x)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps 1) 3)))
(fma.f64 x eps x)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3)))
(fma.f64 x eps x)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 eps 1) x)))
(fma.f64 x eps x)
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))
(*.f64 x (exp.f64 (log1p.f64 eps)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 eps)) 1))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 eps)))
(*.f64 x (exp.f64 (log1p.f64 eps)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 eps 1) x)))
(fma.f64 x eps x)
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) 1)
(exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(*.f64 1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))
(exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(*.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(*.f64 (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))))
(exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(*.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) 2))
(exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) 2) (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))))
(exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(/.f64 1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))
(exp.f64 (neg.f64 (+.f64 (neg.f64 x) (*.f64 x eps))))
(exp.f64 (-.f64 x (*.f64 x eps)))
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(/.f64 (/.f64 1 (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))))
(exp.f64 (neg.f64 (+.f64 (neg.f64 x) (*.f64 x eps))))
(exp.f64 (-.f64 x (*.f64 x eps)))
(/.f64 (/.f64 1 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) 2))
(exp.f64 (neg.f64 (+.f64 (neg.f64 x) (*.f64 x eps))))
(exp.f64 (-.f64 x (*.f64 x eps)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) 2)) (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))))
(exp.f64 (neg.f64 (+.f64 (neg.f64 x) (*.f64 x eps))))
(exp.f64 (-.f64 x (*.f64 x eps)))
(pow.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1)
(exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(pow.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) -1)
(exp.f64 (neg.f64 (+.f64 (neg.f64 x) (*.f64 x eps))))
(exp.f64 (-.f64 x (*.f64 x eps)))
(pow.f64 (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) 2)
(exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))) 3)
(exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(pow.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 3) 1/3)
(exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(pow.f64 (exp.f64 x) (-.f64 1 eps))
(pow.f64 (E.f64) (*.f64 (-.f64 1 eps) x))
(pow.f64 (E.f64) (*.f64 x (-.f64 1 eps)))
(pow.f64 (E.f64) (-.f64 x (*.f64 x eps)))
(pow.f64 (exp.f64 -1) (*.f64 (-.f64 1 eps) x))
(exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(pow.f64 (exp.f64 (-.f64 1 eps)) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 2)) (cbrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 eps))) 2)) (cbrt.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x eps))) 2)) (cbrt.f64 (-.f64 x (*.f64 x eps))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 x (-.f64 1 eps)))) (sqrt.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (*.f64 x eps)))) (sqrt.f64 (-.f64 x (*.f64 x eps))))
(pow.f64 (exp.f64 (neg.f64 (-.f64 1 eps))) x)
(exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(pow.f64 (pow.f64 (exp.f64 -1) (-.f64 1 eps)) x)
(exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(pow.f64 (pow.f64 (exp.f64 -1) x) (-.f64 1 eps))
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 1 eps))
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 (*.f64 (-.f64 1 eps) x))) (sqrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 (*.f64 x (-.f64 1 eps)))) (sqrt.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 (-.f64 x (*.f64 x eps)))) (sqrt.f64 (-.f64 x (*.f64 x eps))))
(pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 eps) x)) 2)) (cbrt.f64 (*.f64 (-.f64 1 eps) x)))
(pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1 eps))) 2)) (cbrt.f64 (*.f64 x (-.f64 1 eps))))
(pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x eps))) 2)) (cbrt.f64 (-.f64 x (*.f64 x eps))))
(sqrt.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 2))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps))) 2))
(fabs.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x))
(log.f64 (exp.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))))
(exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))))
(exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 3))
(exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))))
(exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x)))))
(exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps)))
(pow.f64 (exp.f64 (+.f64 -1 eps)) x)
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 1)
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(*.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 1)
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(*.f64 (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(*.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) 2))
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) 2) (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(/.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(exp.f64 (neg.f64 (neg.f64 (fma.f64 x eps x))))
(exp.f64 (fma.f64 x eps x))
(/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 1)
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(/.f64 (/.f64 1 (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(exp.f64 (neg.f64 (neg.f64 (fma.f64 x eps x))))
(exp.f64 (fma.f64 x eps x))
(/.f64 (/.f64 1 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) 2))
(exp.f64 (neg.f64 (neg.f64 (fma.f64 x eps x))))
(exp.f64 (fma.f64 x eps x))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) 2)) (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(exp.f64 (neg.f64 (neg.f64 (fma.f64 x eps x))))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 1)
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) -1)
(exp.f64 (neg.f64 (neg.f64 (fma.f64 x eps x))))
(exp.f64 (fma.f64 x eps x))
(pow.f64 (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) 2)
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(pow.f64 (cbrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) 3)
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(pow.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3) 1/3)
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(pow.f64 (exp.f64 x) (+.f64 eps 1))
(pow.f64 (E.f64) (*.f64 (+.f64 eps 1) x))
(pow.f64 (E.f64) (fma.f64 x eps x))
(pow.f64 (exp.f64 -1) (*.f64 (+.f64 eps 1) x))
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(pow.f64 (exp.f64 (+.f64 eps 1)) x)
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 eps 1) x)) 2)) (cbrt.f64 (*.f64 (+.f64 eps 1) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2)) (cbrt.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 eps 1) x))) (sqrt.f64 (*.f64 (+.f64 eps 1) x)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x eps x))) (sqrt.f64 (fma.f64 x eps x)))
(pow.f64 (pow.f64 (exp.f64 -1) x) (+.f64 eps 1))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 eps 1))
(pow.f64 (pow.f64 (exp.f64 -1) (+.f64 eps 1)) x)
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 (*.f64 (+.f64 eps 1) x))) (sqrt.f64 (*.f64 (+.f64 eps 1) x)))
(pow.f64 (pow.f64 (exp.f64 -1) (sqrt.f64 (fma.f64 x eps x))) (sqrt.f64 (fma.f64 x eps x)))
(pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 (*.f64 (+.f64 eps 1) x)) 2)) (cbrt.f64 (*.f64 (+.f64 eps 1) x)))
(pow.f64 (pow.f64 (exp.f64 -1) (pow.f64 (cbrt.f64 (fma.f64 x eps x)) 2)) (cbrt.f64 (fma.f64 x eps x)))
(sqrt.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2))
(sqrt.f64 (pow.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) 2))
(fabs.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(log.f64 (exp.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)

localize78.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))
0.0b
(*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x))))
0.3b
(log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))
2.2b
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))
Compiler

Compiled 195 to 135 computations (30.8% saved)

series61.0ms (0.4%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
36.0ms
x
@-inf
(log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))
17.0ms
x
@inf
(log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))
4.0ms
eps
@0
(log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))
2.0ms
eps
@-inf
(log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))
1.0ms
eps
@inf
(log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))

rewrite91.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
612×associate-+l+
472×associate-+r+
468×add-sqr-sqrt
462×*-un-lft-identity
460×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02187
146275
2630775
Stop Event
node limit
Counts
1 → 16
Calls
Call 1
Inputs
(log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))) (sqrt.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))) 2) (cbrt.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))) 1))))))

simplify137.0ms (1%)

Algorithm
egg-herbie
Rules
1318×associate-/l*
1020×associate-/r*
994×associate-+l+
724×+-commutative
596×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02748028
18707292
238236698
Stop Event
node limit
Counts
40 → 81
Calls
Call 1
Inputs
(log.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))) (-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))) (log.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -12 (/.f64 (pow.f64 (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))) 2) (pow.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))) 2))) (*.f64 24 (/.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))) (-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))) (log.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -12 (/.f64 (pow.f64 (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))) 2) (pow.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))) 2))) (*.f64 24 (/.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))))))) (+.f64 (*.f64 1/720 (*.f64 (pow.f64 eps 6) (+.f64 (*.f64 240 (/.f64 (pow.f64 (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))))) 3) (pow.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))) 3))) (+.f64 (*.f64 720 (/.f64 (-.f64 (+.f64 (*.f64 1/5040 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 7))) (*.f64 1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6)))) (+.f64 (*.f64 -1/5040 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 7))) (*.f64 -1/720 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 6))))) (-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))))) (*.f64 -720 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))) (*.f64 1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (*.f64 -1/24 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 4))) (*.f64 -1/120 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 5))))) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))) (pow.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))) 2))))))) (+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))) (-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))) (log.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))))))
(log.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 eps (-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) (log.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (*.f64 eps (-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))))
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 eps (-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) 2) (*.f64 (pow.f64 eps 2) (pow.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)))) (log.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (*.f64 eps (-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))))
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 eps (-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) 2) (*.f64 (pow.f64 eps 2) (pow.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)))) (+.f64 (log.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) 3) (*.f64 (pow.f64 eps 3) (pow.f64 (-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 3))))))) (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (*.f64 eps (-.f64 (+.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) 1) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))))
(log.f64 (-.f64 (+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (-.f64 (+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))))) (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) (-.f64 (+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))))) eps)) (log.f64 (-.f64 (+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (-.f64 (+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))))) (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) (-.f64 (+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))))) eps)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) 2) (*.f64 (pow.f64 eps 2) (pow.f64 (-.f64 (+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) 2)))) (log.f64 (-.f64 (+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))))))
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) 3) (*.f64 (pow.f64 eps 3) (pow.f64 (-.f64 (+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) 3)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x))) (-.f64 (+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))))) (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) (-.f64 (+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))))) eps)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) 2) (*.f64 (pow.f64 eps 2) (pow.f64 (-.f64 (+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))))) 2)))) (log.f64 (-.f64 (+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 eps)) x)))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))))))
(log.f64 3)
(+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x)) (log.f64 3))
(+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 2/3 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2))))) (*.f64 -1/9 (pow.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) 2))) (pow.f64 x 2))) (log.f64 3)))
(+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 2/3 (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2))))) (*.f64 -1/9 (pow.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) 2))) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 2/27 (pow.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) 3)) (+.f64 (*.f64 2 (-.f64 (*.f64 -1/6 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 3))) (*.f64 -1/6 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 3))))) (*.f64 -2/3 (*.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 1 eps))) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) (-.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 1 eps) 2))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))))))) (pow.f64 x 3))) (log.f64 3))))
(log.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1))))
(log.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1))))
(log.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1))))
(log.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1))))
(log.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1))))
(log.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1))))
(log.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1))))
(log.f64 (-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))) 1)
(*.f64 1 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))
(*.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))) 1)
(*.f64 (sqrt.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))) (sqrt.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))))
(*.f64 (cbrt.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))) 2) (cbrt.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))))
(pow.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))) 2))
(log.f64 (+.f64 1 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x)))))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))))
(exp.f64 (log.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))) 1))
Outputs
(log.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))))
(log.f64 (-.f64 (+.f64 1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))) (*.f64 -1 (fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x))))))
(log1p.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))))))
(log1p.f64 (-.f64 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 1 x) (exp.f64 (neg.f64 x))))))
(+.f64 (/.f64 (*.f64 (pow.f64 eps 2) (-.f64 (+.f64 (*.f64 1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))))) (-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))) (log.f64 (-.f64 (+.f64 1 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x)))))))
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(exp.f64 (*.f64 (log.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))) 1))
(log1p.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 eps)) (neg.f64 x)) (+.f64 1 (/.f64 1 eps))) (*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (neg.f64 x)) (+.f64 -1 (/.f64 1 eps)))))
(log1p.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps)))))
(log1p.f64 (fma.f64 (pow.f64 (exp.f64 (+.f64 -1 eps)) x) (+.f64 1 (/.f64 1 eps)) (*.f64 (-.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))

eval2.0s (14.7%)

Compiler

Compiled 79936 to 58465 computations (26.9% saved)

prune676.0ms (4.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1730101740
Fresh123
Picked101
Done314
Total1735131748
Error
0.0b
Counts
1748 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(/.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (/.f64 (-.f64 -1 x) (exp.f64 x))) 2)
16.8b
(/.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) -1) 2)
17.1b
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))) 2)
17.5b
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))) 2)
13.1b
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps))))) 2)
1.8b
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
17.5b
(/.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
0.3b
(/.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x))) 2)
36.2b
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
2.5b
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) 2)
18.0b
(/.f64 (expm1.f64 (log1p.f64 2)) 2)
16.8b
(/.f64 2 2)
46.3b
(/.f64 0 2)
Compiler

Compiled 441 to 361 computations (18.1% saved)

localize32.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x)))
0.0b
(*.f64 (exp.f64 (*.f64 -1 x)) x)
0.0b
(/.f64 (-.f64 -1 x) (exp.f64 x))
Compiler

Compiled 78 to 53 computations (32.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (-.f64 -1 x) (exp.f64 x))
0.0ms
x
@-inf
(/.f64 (-.f64 -1 x) (exp.f64 x))
0.0ms
x
@0
(/.f64 (-.f64 -1 x) (exp.f64 x))

rewrite64.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1920×add-sqr-sqrt
1904×*-un-lft-identity
1778×add-cube-cbrt
1758×add-cbrt-cube
174×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117317
2229717
Stop Event
node limit
Counts
1 → 34
Calls
Call 1
Inputs
(/.f64 (-.f64 -1 x) (exp.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (exp.f64 x)) (/.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 x) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 -1 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))) (sqrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 -1 x)) (*.f64 (sqrt.f64 (-.f64 -1 x)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))) 2) (cbrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 (cbrt.f64 (-.f64 -1 x)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 -1 x)) (/.f64 -1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (-.f64 -1 x) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (exp.f64 (+.f64 x x)))) (/.f64 (-.f64 -1 x) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) 1) (/.f64 (sqrt.f64 (-.f64 -1 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) (cbrt.f64 (exp.f64 (+.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 -1 x)) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (-.f64 -1 x)) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (exp.f64 (+.f64 x x)))) (cbrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 x) (-.f64 -1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 -1 x) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (-.f64 -1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 -1 x)) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))))))))

simplify59.0ms (0.4%)

Algorithm
egg-herbie
Rules
838×distribute-lft-neg-out
812×*-commutative
736×distribute-rgt-neg-out
562×associate-*r/
420×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01091356
1270892
2923892
33991892
Stop Event
node limit
Counts
46 → 57
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) 1)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))) 1)
(*.f64 -1 (/.f64 x (exp.f64 x)))
(-.f64 (*.f64 -1 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(-.f64 (*.f64 -1 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(-.f64 (*.f64 -1 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(*.f64 -1 (/.f64 x (exp.f64 x)))
(-.f64 (*.f64 -1 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(-.f64 (*.f64 -1 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(-.f64 (*.f64 -1 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(+.f64 (/.f64 -1 (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x))))
(-.f64 (/.f64 -1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)))) 1)
(*.f64 (-.f64 -1 x) (exp.f64 (neg.f64 x)))
(*.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) 1)
(*.f64 1 (/.f64 (-.f64 -1 x) (exp.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))) (sqrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))))
(*.f64 (sqrt.f64 (-.f64 -1 x)) (*.f64 (sqrt.f64 (-.f64 -1 x)) (exp.f64 (neg.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))) 2) (cbrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 (cbrt.f64 (-.f64 -1 x)) (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x))
(*.f64 (neg.f64 (-.f64 -1 x)) (/.f64 -1 (exp.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (-.f64 -1 x) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (exp.f64 (+.f64 x x)))) (/.f64 (-.f64 -1 x) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) 1) (/.f64 (sqrt.f64 (-.f64 -1 x)) (exp.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) (cbrt.f64 (exp.f64 (+.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 -1 x)) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 x)) (exp.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (-.f64 -1 x)) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (exp.f64 (+.f64 x x)))) (cbrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))))
(pow.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (exp.f64 x) (-.f64 -1 x)) -1)
(neg.f64 (/.f64 (-.f64 -1 x) (neg.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))))
(exp.f64 (-.f64 (log.f64 (-.f64 -1 x)) x))
(exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 -1 x)) x) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))))
Outputs
-1
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(fma.f64 1/2 (*.f64 x x) -1)
(fma.f64 x (*.f64 1/2 x) -1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))) 1)
(+.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3))) -1)
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) -1))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3)))) -1)
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) -1)))
(*.f64 -1 (/.f64 x (exp.f64 x)))
(/.f64 (neg.f64 x) (exp.f64 x))
(-.f64 (*.f64 -1 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(-.f64 (*.f64 -1 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(-.f64 (*.f64 -1 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(*.f64 -1 (/.f64 x (exp.f64 x)))
(/.f64 (neg.f64 x) (exp.f64 x))
(-.f64 (*.f64 -1 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(-.f64 (*.f64 -1 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(-.f64 (*.f64 -1 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(+.f64 (/.f64 -1 (exp.f64 x)) (neg.f64 (/.f64 x (exp.f64 x))))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(-.f64 (/.f64 -1 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)))) 1)
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(*.f64 (-.f64 -1 x) (exp.f64 (neg.f64 x)))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(*.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) 1)
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(*.f64 1 (/.f64 (-.f64 -1 x) (exp.f64 x)))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))) (sqrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(*.f64 (sqrt.f64 (-.f64 -1 x)) (*.f64 (sqrt.f64 (-.f64 -1 x)) (exp.f64 (neg.f64 x))))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))) 2))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))) 2) (cbrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 (cbrt.f64 (-.f64 -1 x)) (exp.f64 (neg.f64 x))))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(*.f64 (neg.f64 (-.f64 -1 x)) (/.f64 -1 (exp.f64 x)))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (-.f64 -1 x) (sqrt.f64 (exp.f64 x))))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (exp.f64 (+.f64 x x)))) (/.f64 (-.f64 -1 x) (cbrt.f64 (exp.f64 x))))
(/.f64 (*.f64 1 (/.f64 (-.f64 -1 x) (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 (+.f64 x x))))
(/.f64 (/.f64 (-.f64 -1 x) (cbrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 2) x)))
(/.f64 (-.f64 -1 x) (*.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 x))))
(/.f64 (-.f64 -1 x) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) 1) (/.f64 (sqrt.f64 (-.f64 -1 x)) (exp.f64 x)))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 x)) (cbrt.f64 (exp.f64 (+.f64 x x)))) (/.f64 (sqrt.f64 (-.f64 -1 x)) (cbrt.f64 (exp.f64 x))))
(/.f64 (*.f64 1 (/.f64 (-.f64 -1 x) (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 (+.f64 x x))))
(/.f64 (/.f64 (-.f64 -1 x) (cbrt.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 2) x)))
(/.f64 (-.f64 -1 x) (*.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 x))))
(/.f64 (-.f64 -1 x) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 x)) (exp.f64 x)))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (-.f64 -1 x)) (sqrt.f64 (exp.f64 x))))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (exp.f64 (+.f64 x x)))) (cbrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)))) (cbrt.f64 (exp.f64 (+.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (pow.f64 (exp.f64 2) x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (exp.f64 (+.f64 x x)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) 2))))
(pow.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) 1)
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))) 2)
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))) 3)
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) 3) 1/3)
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(pow.f64 (/.f64 (exp.f64 x) (-.f64 -1 x)) -1)
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(neg.f64 (/.f64 (-.f64 -1 x) (neg.f64 (exp.f64 x))))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) 2))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)))))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) 3))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(exp.f64 (-.f64 (log.f64 (-.f64 -1 x)) x))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 -1 x)) x) 1))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 x) (exp.f64 x))))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 -1 x) (exp.f64 x))

localize6.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize27.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
0.0b
(*.f64 (+.f64 eps 1) x)
0.0b
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
Compiler

Compiled 66 to 51 computations (22.7% saved)

series5.0ms (0%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
0.0ms
eps
@0
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
0.0ms
x
@inf
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
0.0ms
eps
@-inf
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
0.0ms
eps
@inf
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))

rewrite75.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
978×*-commutative
876×associate-*r/
664×associate-*l/
558×distribute-lft-in
556×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01327
127123
2345223
Stop Event
node limit
Counts
1 → 68
Calls
Call 1
Inputs
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
Outputs
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simplify88.0ms (0.6%)

Algorithm
egg-herbie
Rules
1662×associate-*r/
1336×associate-/r/
1070×distribute-lft-in
1050×associate-*l/
692×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02236634
16735934
231785210
Stop Event
node limit
Counts
80 → 160
Calls
Call 1
Inputs
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) 1) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))))) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
2
(+.f64 2 (*.f64 -1 (*.f64 (+.f64 1 eps) x)))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2)))))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3))))))
(+.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 1)
(*.f64 1 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(*.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 1)
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) (sqrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) 2) (cbrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)) (/.f64 1 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)) (/.f64 1 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)) 1) (/.f64 1 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)) (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2))) (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)) (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))) (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)))) (neg.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)))) (neg.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)) (-.f64 1 (*.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)) (+.f64 1 (pow.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) 3))) (+.f64 1 (*.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) (-.f64 (*.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) 1))))
(/.f64 1 (/.f64 1 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(/.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 1)
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)) (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)) (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2))) (/.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)))) (/.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2))) (*.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))) (*.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) 3)) (*.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) (+.f64 1 (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3) 3)) (*.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))) (+.f64 1 (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3) (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2))) (neg.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))) (neg.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)))) (neg.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)))) (neg.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)))) (sqrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)))) (cbrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2))) 1) (neg.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))) 1) (neg.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2))) (sqrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) (sqrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))) (sqrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) 2)) (cbrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) 2)) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2))) (/.f64 1 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) 3)) (/.f64 1 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) (+.f64 1 (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))) (/.f64 1 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3) 3)) (/.f64 1 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) (+.f64 1 (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3) (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)) 1) (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)) (sqrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) (sqrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)) (cbrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) 2))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) 2)) (cbrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)) (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2))) (/.f64 1 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)) (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))) (/.f64 1 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)) 1) (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(pow.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2))
(log.f64 (exp.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 3))
(expm1.f64 (log.f64 (+.f64 2 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(exp.f64 (log1p.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
Outputs
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(-.f64 1 (neg.f64 (exp.f64 (neg.f64 x))))
(+.f64 1 (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) 1) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(-.f64 (fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) 1) (neg.f64 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 1 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x eps))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 1 (*.f64 x (/.f64 eps (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))))) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(-.f64 (+.f64 (fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) 1) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x))))) (neg.f64 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 eps eps))) 1) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x eps))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 eps (/.f64 eps (exp.f64 x)))) 1) (*.f64 x (/.f64 eps (exp.f64 x)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2))))))) (*.f64 -1 (exp.f64 (*.f64 -1 x))))
(-.f64 (+.f64 (fma.f64 -1 (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))) 1) (fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)))))) (neg.f64 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (-.f64 1 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x eps))) (fma.f64 1/2 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 eps eps))) (*.f64 -1/6 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 x 3) (pow.f64 eps 3)))))))
(-.f64 (+.f64 (fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 eps (/.f64 eps (exp.f64 x)))) 1) (*.f64 (pow.f64 eps 3) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (pow.f64 x 3)) -1/6))) (-.f64 (*.f64 x (/.f64 eps (exp.f64 x))) (exp.f64 (neg.f64 x))))
(-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))))
(-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))))
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(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)) (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))) (/.f64 1 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) 2) (expm1.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))) (/.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) 2)) (+.f64 1 (pow.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) 3))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2) (expm1.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) (/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)) (+.f64 1 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 3))))
(*.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) 2)) (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) 2) (expm1.f64 (*.f64 x (-.f64 -1 eps)))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) 3))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)) 1) (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) 3)) (/.f64 1 (-.f64 (pow.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) 2) (expm1.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 3)) (-.f64 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2) (expm1.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) 3)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) 2) (expm1.f64 (*.f64 x (-.f64 -1 eps)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) 3)) (/.f64 1 (-.f64 (pow.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) 2) (expm1.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 3)) (-.f64 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2) (expm1.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) 3)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) 2) (expm1.f64 (*.f64 x (-.f64 -1 eps)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (expm1.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) 3)) (/.f64 1 (-.f64 (pow.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))) 2) (expm1.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 3)) (-.f64 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2) (expm1.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) 3)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) 2) (expm1.f64 (*.f64 x (-.f64 -1 eps)))))
(pow.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 1)
(-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) 2)
(-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) 3)
(-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 3) 1/3)
(-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2))
(sqrt.f64 (pow.f64 (-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))) 2))
(fabs.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))
(fabs.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(log.f64 (exp.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))))
(-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 3))
(-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(expm1.f64 (log.f64 (+.f64 2 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(expm1.f64 (log.f64 (+.f64 2 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps)))))))
(expm1.f64 (log.f64 (+.f64 2 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))))
(expm1.f64 (log.f64 (+.f64 2 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))))
(exp.f64 (log1p.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(exp.f64 (log1p.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 1 eps))))))
(exp.f64 (log1p.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(-.f64 1 (neg.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 1 (neg.f64 eps)))))))
(+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))
(+.f64 1 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.0b
(log1p.f64 2)
Compiler

Compiled 13 to 13 computations (0% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite57.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
688×associate-*r*
664×add-sqr-sqrt
648×*-un-lft-identity
618×pow1
610×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
1815
28375
Stop Event
node limit
Counts
1 → 48
Calls
Call 1
Inputs
(log1p.f64 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 2)) (sqrt.f64 (log1p.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 2)) (pow.f64 (cbrt.f64 (log1p.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2) (cbrt.f64 (log1p.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2) (pow.f64 (pow.f64 (log1p.f64 2) 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 2) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 2) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 2) 1/4) (*.f64 (pow.f64 (log1p.f64 2) 1/4) (sqrt.f64 (log1p.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 2) 1/6) (*.f64 (pow.f64 (log1p.f64 2) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 2))) (pow.f64 (cbrt.f64 (log1p.f64 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 4)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2)) (cbrt.f64 (log1p.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (log1p.f64 2) 3/2)) (pow.f64 (log1p.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 5)) (pow.f64 (log1p.f64 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 2) 5/2)) (pow.f64 (log1p.f64 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 2)) (pow.f64 (log1p.f64 2) 1/4)) (pow.f64 (log1p.f64 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 2)) (cbrt.f64 (log1p.f64 2))) (pow.f64 (log1p.f64 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2) (pow.f64 (log1p.f64 2) 1/6)) (pow.f64 (log1p.f64 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 2) 1/6) 3) (pow.f64 (pow.f64 (log1p.f64 2) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (log1p.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 2) 1/4) 2) (pow.f64 (pow.f64 (log1p.f64 2) 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 2) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 2) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 2) 5/2) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 4) 2) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 2) 1) (+.f64 (log1p.f64 2) 1)) 1) (+.f64 (+.f64 (log1p.f64 2) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 2) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log1p.f64 2) 1) (+.f64 (log1p.f64 2) 1)) (+.f64 1 (+.f64 (log1p.f64 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (log1p.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 2)) 2))) (cbrt.f64 (log.f64 (log1p.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 2)))) (sqrt.f64 (log.f64 (log1p.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (log1p.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 2) 3)) 1/3))))))

simplify55.0ms (0.4%)

Algorithm
egg-herbie
Rules
806×associate-/r*
698×*-commutative
564×fma-def
496×distribute-lft-out
490×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0127762
1318516
21279502
33366502
Stop Event
node limit
Counts
48 → 61
Calls
Call 1
Inputs
(+.f64 (+.f64 (log1p.f64 2) 1) -1)
(-.f64 (+.f64 (log1p.f64 2) 1) 1)
(*.f64 (log1p.f64 2) 1)
(*.f64 1 (log1p.f64 2))
(*.f64 (sqrt.f64 (log1p.f64 2)) (sqrt.f64 (log1p.f64 2)))
(*.f64 (cbrt.f64 (log1p.f64 2)) (pow.f64 (cbrt.f64 (log1p.f64 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2) (cbrt.f64 (log1p.f64 2)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2) (pow.f64 (pow.f64 (log1p.f64 2) 1/6) 2))
(*.f64 (pow.f64 (log1p.f64 2) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 2) 3/2)))
(*.f64 (pow.f64 (log1p.f64 2) 1/4) (*.f64 (pow.f64 (log1p.f64 2) 1/4) (sqrt.f64 (log1p.f64 2))))
(*.f64 (pow.f64 (log1p.f64 2) 1/6) (*.f64 (pow.f64 (log1p.f64 2) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 2))) (pow.f64 (cbrt.f64 (log1p.f64 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 4)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2)) (cbrt.f64 (log1p.f64 2))))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 2) 3/2)) (pow.f64 (log1p.f64 2) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 5)) (pow.f64 (log1p.f64 2) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 2))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 2) 5/2)) (pow.f64 (log1p.f64 2) 1/6))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 2)) (pow.f64 (log1p.f64 2) 1/4)) (pow.f64 (log1p.f64 2) 1/4))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 2)) (cbrt.f64 (log1p.f64 2))) (pow.f64 (log1p.f64 2) 1/6))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2) (pow.f64 (log1p.f64 2) 1/6)) (pow.f64 (log1p.f64 2) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 2))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 2) 1/6) 3) (pow.f64 (pow.f64 (log1p.f64 2) 1/6) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 2))) 3))
(*.f64 (pow.f64 1 1/3) (log1p.f64 2))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 2) 1/4) 2) (pow.f64 (pow.f64 (log1p.f64 2) 1/4) 2))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 2) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 2) 3/2) 1/3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 2) 5/2) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 4) 2) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 2)) 1/3))
(/.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 2) 1) (+.f64 (log1p.f64 2) 1)) 1) (+.f64 (+.f64 (log1p.f64 2) 1) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 2) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log1p.f64 2) 1) (+.f64 (log1p.f64 2) 1)) (+.f64 1 (+.f64 (log1p.f64 2) 1))))
(pow.f64 (log1p.f64 2) 1)
(pow.f64 (sqrt.f64 (log1p.f64 2)) 2)
(pow.f64 (cbrt.f64 (log1p.f64 2)) 3)
(pow.f64 (pow.f64 (log1p.f64 2) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 2) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (log1p.f64 2)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 2)) 2))) (cbrt.f64 (log.f64 (log1p.f64 2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 2)))) (sqrt.f64 (log.f64 (log1p.f64 2))))
(sqrt.f64 (pow.f64 (log1p.f64 2) 2))
(fabs.f64 (log1p.f64 2))
(log.f64 3)
(cbrt.f64 (pow.f64 (log1p.f64 2) 3))
(expm1.f64 (log1p.f64 (log1p.f64 2)))
(exp.f64 (log.f64 (log1p.f64 2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 2))) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 2))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 2) 3)) 1/3))
Outputs
(+.f64 (+.f64 (log1p.f64 2) 1) -1)
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(-.f64 (+.f64 (log1p.f64 2) 1) 1)
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(*.f64 (log1p.f64 2) 1)
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(*.f64 1 (log1p.f64 2))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(*.f64 (sqrt.f64 (log1p.f64 2)) (sqrt.f64 (log1p.f64 2)))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(*.f64 (cbrt.f64 (log1p.f64 2)) (pow.f64 (cbrt.f64 (log1p.f64 2)) 2))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2) (cbrt.f64 (log1p.f64 2)))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2) (pow.f64 (pow.f64 (log1p.f64 2) 1/6) 2))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(*.f64 (pow.f64 (log1p.f64 2) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 2) 3/2)))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(*.f64 (pow.f64 (log1p.f64 2) 1/4) (*.f64 (pow.f64 (log1p.f64 2) 1/4) (sqrt.f64 (log1p.f64 2))))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(*.f64 (pow.f64 (log1p.f64 2) 1/6) (*.f64 (pow.f64 (log1p.f64 2) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 2)) 2)))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 2))) (pow.f64 (cbrt.f64 (log1p.f64 2)) 2)))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 4)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2)) (cbrt.f64 (log1p.f64 2))))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 2) 3/2)) (pow.f64 (log1p.f64 2) 1/4))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 5)) (pow.f64 (log1p.f64 2) 1/6))
(*.f64 (pow.f64 (log1p.f64 2) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 5)))
(*.f64 (pow.f64 (log1p.f64 2) 1/6) (fabs.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 5/2)))
(*.f64 (pow.f64 (log1p.f64 2) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 2)) 5/2))
(*.f64 (sqrt.f64 (log1p.f64 2)) (pow.f64 (pow.f64 (log1p.f64 2) 1/12) 6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 2))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 8)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 2) 5/2)) (pow.f64 (log1p.f64 2) 1/6))
(*.f64 (pow.f64 (log1p.f64 2) 1/6) (cbrt.f64 (pow.f64 (log1p.f64 2) 5/2)))
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 2)) (pow.f64 (log1p.f64 2) 1/4)) (pow.f64 (log1p.f64 2) 1/4))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(*.f64 (*.f64 (sqrt.f64 (log1p.f64 2)) (cbrt.f64 (log1p.f64 2))) (pow.f64 (log1p.f64 2) 1/6))
(*.f64 (pow.f64 (log1p.f64 2) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 5)))
(*.f64 (pow.f64 (log1p.f64 2) 1/6) (fabs.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 5/2)))
(*.f64 (pow.f64 (log1p.f64 2) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 2)) 5/2))
(*.f64 (sqrt.f64 (log1p.f64 2)) (pow.f64 (pow.f64 (log1p.f64 2) 1/12) 6))
(*.f64 (*.f64 (cbrt.f64 (log1p.f64 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2)))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2) (pow.f64 (log1p.f64 2) 1/6)) (pow.f64 (log1p.f64 2) 1/6))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 2))))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(*.f64 (pow.f64 (pow.f64 (log1p.f64 2) 1/6) 3) (pow.f64 (pow.f64 (log1p.f64 2) 1/6) 3))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 2))) 3))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(*.f64 (pow.f64 1 1/3) (log1p.f64 2))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(*.f64 (pow.f64 (pow.f64 (log1p.f64 2) 1/4) 2) (pow.f64 (pow.f64 (log1p.f64 2) 1/4) 2))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(*.f64 (pow.f64 (pow.f64 (log1p.f64 2) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 2) 3/2) 1/3))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(*.f64 (pow.f64 (pow.f64 (log1p.f64 2) 5/2) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 2)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 2) 5/2)) (cbrt.f64 (sqrt.f64 (log1p.f64 2))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 4) 2) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 2))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 2)) 8)))
(/.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 2) 1) (+.f64 (log1p.f64 2) 1)) 1) (+.f64 (+.f64 (log1p.f64 2) 1) 1))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 2) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log1p.f64 2) 1) (+.f64 (log1p.f64 2) 1)) (+.f64 1 (+.f64 (log1p.f64 2) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 2) 1) 3) -1) (fma.f64 (+.f64 (log1p.f64 2) 1) (+.f64 (log1p.f64 2) 1) (+.f64 (log1p.f64 2) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 2) 1) 3)) (fma.f64 (+.f64 (log1p.f64 2) 1) (+.f64 (log1p.f64 2) 1) (+.f64 2 (log1p.f64 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log1p.f64 2) 1) 3)) (+.f64 1 (*.f64 (+.f64 (log1p.f64 2) 1) (+.f64 2 (log1p.f64 2)))))
(pow.f64 (log1p.f64 2) 1)
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(pow.f64 (sqrt.f64 (log1p.f64 2)) 2)
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(pow.f64 (cbrt.f64 (log1p.f64 2)) 3)
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(pow.f64 (pow.f64 (log1p.f64 2) 2) 1/2)
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(pow.f64 (pow.f64 (log1p.f64 2) 3) 1/3)
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(pow.f64 (E.f64) (log.f64 (log1p.f64 2)))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 2)) 2))) (cbrt.f64 (log.f64 (log1p.f64 2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 2)))) (sqrt.f64 (log.f64 (log1p.f64 2))))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(sqrt.f64 (pow.f64 (log1p.f64 2) 2))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(fabs.f64 (log1p.f64 2))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(log.f64 3)
(cbrt.f64 (pow.f64 (log1p.f64 2) 3))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(expm1.f64 (log1p.f64 (log1p.f64 2)))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(exp.f64 (log.f64 (log1p.f64 2)))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 2))) 2))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 2))) 3))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 2) 3)) 1/3))
(+.f64 (log1p.f64 2) 0)
(log1p.f64 2)

localize31.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
0.0b
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
0.0b
(*.f64 (+.f64 eps 1) x)
Compiler

Compiled 75 to 51 computations (32% saved)

series1.0ms (0%)

Counts
1 → 16
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
0.0ms
eps
@0
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
0.0ms
eps
@inf
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
0.0ms
x
@inf
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
0.0ms
eps
@-inf
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))

rewrite116.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1114×*-commutative
1058×associate-*r/
798×associate-*l/
786×distribute-lft-in
472×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01535
131227
2407527
Stop Event
node limit
Counts
1 → 142
Calls
Call 1
Inputs
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (fma.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (fma.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (fma.f64 1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 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simplify177.0ms (1.3%)

Algorithm
egg-herbie
Rules
1256×+-commutative
810×associate-+r-
744×associate-*r*
686×fma-def
630×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038616962
1119414518
2734713164
Stop Event
node limit
Counts
158 → 301
Calls
Call 1
Inputs
2
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(-.f64 (exp.f64 (*.f64 -1 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (exp.f64 (*.f64 -1 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (exp.f64 (*.f64 -1 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
(-.f64 (exp.f64 (*.f64 -1 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))
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(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) 3) (pow.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) 3)) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)) (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2))))))
(/.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)) (neg.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (exp.f64 (+.f64 x (*.f64 (+.f64 eps 1) x))))))
(/.f64 (*.f64 1 (neg.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2))) (neg.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)))) (neg.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (exp.f64 (+.f64 x (*.f64 (+.f64 eps 1) x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (exp.f64 (+.f64 x (*.f64 (+.f64 eps 1) x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (exp.f64 (+.f64 x (*.f64 (+.f64 eps 1) x))))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)) 1) (neg.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))) 1) (neg.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (exp.f64 (+.f64 x (*.f64 (+.f64 eps 1) x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))) (sqrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (exp.f64 (+.f64 x (*.f64 (+.f64 eps 1) x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) 2)) (cbrt.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (exp.f64 (+.f64 x (*.f64 (+.f64 eps 1) x))))))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))) (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) (*.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (exp.f64 (+.f64 x (*.f64 (+.f64 eps 1) x)))) (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (exp.f64 (+.f64 x (*.f64 (+.f64 eps 1) x))))))
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)) (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2))
(/.f64 (*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))) (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (exp.f64 (+.f64 x (*.f64 (+.f64 eps 1) x)))))
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))) (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2))) (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) 3) (pow.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) 3)) (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)) (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))) (/.f64 1 (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (exp.f64 (+.f64 x (*.f64 (+.f64 eps 1) x)))))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) 3) (pow.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (exp.f64 (+.f64 x (*.f64 (+.f64 eps 1) x)))))) (+.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))) (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))))
(/.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) 2))
(/.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) 2)) (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(/.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)) (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(/.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3))) (/.f64 1 (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (exp.f64 (+.f64 x (*.f64 (+.f64 eps 1) x))))))
(/.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (+.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) (-.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)) 1) (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (exp.f64 (+.f64 x (*.f64 (+.f64 eps 1) x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (exp.f64 (+.f64 x (*.f64 (+.f64 eps 1) x)))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (exp.f64 (+.f64 x (*.f64 (+.f64 eps 1) x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (exp.f64 (+.f64 x (*.f64 (+.f64 eps 1) x))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (exp.f64 (+.f64 x (*.f64 (+.f64 eps 1) x))))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (exp.f64 (+.f64 x (*.f64 (+.f64 eps 1) x))))))
(pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 1)
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) 2)
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) 3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2))
(log.f64 (exp.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))))
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 3))
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(exp.f64 (log.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(fma.f64 1 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 x))) 2) (cbrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
Outputs
2
(+.f64 2 (*.f64 -1 (*.f64 (+.f64 2 eps) x)))
(+.f64 2 (neg.f64 (*.f64 (+.f64 2 eps) x)))
(-.f64 2 (*.f64 (+.f64 2 eps) x))
(fma.f64 (-.f64 -2 eps) x 2)
(+.f64 2 (+.f64 (*.f64 (-.f64 1/2 (*.f64 -1/2 (pow.f64 (+.f64 eps 1) 2))) (pow.f64 x 2)) (*.f64 -1 (*.f64 (+.f64 2 eps) x))))
(+.f64 2 (fma.f64 (+.f64 1/2 (*.f64 1/2 (pow.f64 (+.f64 eps 1) 2))) (*.f64 x x) (neg.f64 (*.f64 (+.f64 2 eps) x))))
(+.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) (*.f64 (+.f64 1/2 (*.f64 1/2 (pow.f64 (+.f64 eps 1) 2))) (*.f64 x x)))
(+.f64 (fma.f64 (-.f64 -2 eps) x 2) (*.f64 (+.f64 1/2 (*.f64 1/2 (pow.f64 (+.f64 eps 1) 2))) (*.f64 x x)))
(+.f64 2 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 eps 1) 3)) 1/6) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 1/2 (*.f64 -1/2 (pow.f64 (+.f64 eps 1) 2))) (pow.f64 x 2)) (*.f64 -1 (*.f64 (+.f64 2 eps) x)))))
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(/.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (+.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) (-.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2) (*.f64 (+.f64 (sqrt.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))) (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))))))
(/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (exp.f64 (neg.f64 x))) 2) (*.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x)) (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x)))))
(/.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (neg.f64 x))) 2) (*.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)) (sqrt.f64 (exp.f64 (neg.f64 x)))) (-.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)) 1) (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (exp.f64 (+.f64 x (*.f64 (+.f64 eps 1) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))) 3)) 1) (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2) (exp.f64 (*.f64 (+.f64 (+.f64 eps 1) 1) x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (exp.f64 (+.f64 2 eps)) x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (exp.f64 (+.f64 2 eps)) x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (exp.f64 (+.f64 x (*.f64 (+.f64 eps 1) x)))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (exp.f64 (+.f64 x (*.f64 (+.f64 eps 1) x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))) 3)) 1) (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2) (exp.f64 (*.f64 (+.f64 (+.f64 eps 1) 1) x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (exp.f64 (+.f64 2 eps)) x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (exp.f64 (+.f64 2 eps)) x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (exp.f64 (+.f64 x (*.f64 (+.f64 eps 1) x))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (exp.f64 (+.f64 x (*.f64 (+.f64 eps 1) x))))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2) (exp.f64 (+.f64 x (*.f64 (+.f64 eps 1) x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))) 3)) 1) (+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2) (exp.f64 (*.f64 (+.f64 (+.f64 eps 1) 1) x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (exp.f64 (+.f64 2 eps)) x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) 3)) (+.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (exp.f64 (+.f64 2 eps)) x)))
(pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 1)
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (exp.f64 (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (neg.f64 x)))
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (exp.f64 (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (neg.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))) 3)
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (exp.f64 (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (neg.f64 x)))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 3) 1/3)
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (exp.f64 (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (neg.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1)))))) 2))
(fabs.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (exp.f64 (neg.f64 x))))
(fabs.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (neg.f64 x))))
(log.f64 (exp.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (exp.f64 (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (neg.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))))
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (exp.f64 (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (neg.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 3))
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (exp.f64 (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (neg.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (exp.f64 (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (neg.f64 x)))
(exp.f64 (log.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (exp.f64 (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (neg.f64 x)))
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))))))
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (exp.f64 (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (neg.f64 x)))
(fma.f64 1 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (exp.f64 (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (neg.f64 x)))
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (exp.f64 (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 x))) 2) (cbrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 eps 1))))))
(+.f64 (pow.f64 (exp.f64 (+.f64 -1 (neg.f64 eps))) x) (exp.f64 (neg.f64 x)))
(+.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x) (exp.f64 (neg.f64 x)))

eval882.0ms (6.4%)

Compiler

Compiled 33888 to 24612 computations (27.4% saved)

prune384.0ms (2.8%)

Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New109571102
Fresh257
Picked101
Done235
Total1100151115
Error
0.0b
Counts
1115 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
38.8b
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 -1 x) (exp.f64 x))) 2)
0.3b
(/.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (/.f64 (-.f64 -1 x) (exp.f64 x))) 2)
17.1b
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (/.f64 (-.f64 -1 x) (exp.f64 x))) 2)
17.1b
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))) 2)
17.5b
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))) 2)
13.1b
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps))))) 2)
17.7b
(/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)
16.8b
(/.f64 (-.f64 1 (/.f64 (-.f64 -1 x) (exp.f64 x))) 2)
0.3b
(/.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x))) 2)
17.5b
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 2)
1.6b
(/.f64 (*.f64 2 (exp.f64 (neg.f64 x))) 2)
53.9b
(/.f64 (*.f64 1 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) 2)
2.5b
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) 2)
16.8b
(/.f64 2 2)
46.3b
(/.f64 0 2)
Compiler

Compiled 450 to 361 computations (19.8% saved)

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (exp.f64 x))
0.0b
(+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x)))
0.0b
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
Compiler

Compiled 62 to 22 computations (64.5% saved)

series3.0ms (0%)

Counts
3 → 25
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
0.0ms
x
@-inf
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
0.0ms
x
@-inf
(/.f64 x (exp.f64 x))
0.0ms
x
@-inf
(+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x)))
0.0ms
x
@inf
(/.f64 x (exp.f64 x))

rewrite142.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1322×associate-/r*
1138×*-commutative
1064×associate-/l*
658×associate-/r/
406×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01289
126157
2385657
Stop Event
node limit
Counts
3 → 277
Calls
Call 1
Inputs
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x)))
(/.f64 x (exp.f64 x))
Outputs
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simplify197.0ms (1.4%)

Algorithm
egg-herbie
Rules
1262×associate-*r*
1024×associate-*l*
768×associate-/l*
748×*-commutative
704×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068725726
1213022666
Stop Event
node limit
Counts
302 → 522
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -1 x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 -1 x)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(/.f64 x (exp.f64 x))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (*.f64 -1 x))))
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 3))))
(+.f64 2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 3)))))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (*.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (*.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (*.f64 2 (exp.f64 (*.f64 -1 x))))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (exp.f64 (neg.f64 x))))) (-.f64 1 (/.f64 x (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (exp.f64 x)))) (-.f64 1 (*.f64 2 (exp.f64 (neg.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))))) 1)
(-.f64 (/.f64 0 (exp.f64 x)) (*.f64 (exp.f64 x) (-.f64 x 2)))
(-.f64 (/.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 x) (-.f64 x 2))) (/.f64 (*.f64 (exp.f64 (+.f64 x x)) 4) (*.f64 (exp.f64 x) (-.f64 x 2))))
(-.f64 (+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (log1p.f64 (*.f64 2 (exp.f64 (neg.f64 x)))))) 1)
(-.f64 (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (exp.f64 (log1p.f64 (/.f64 x (exp.f64 x))))) 1)
(-.f64 (+.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 0 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(*.f64 (exp.f64 x) (+.f64 x 2))
(*.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) 1)
(*.f64 1 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))) (sqrt.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))) 2) (cbrt.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))))
(*.f64 (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4)) (/.f64 (exp.f64 x) (-.f64 x 2)))
(*.f64 (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))))))
(*.f64 (+.f64 x 2) (exp.f64 x))
(*.f64 (/.f64 (exp.f64 x) (-.f64 x 2)) (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4)))
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(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4)) (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4))) (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4)) (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8))) (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8)) (-.f64 (*.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2)) (*.f64 (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))) (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))))))) (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8)) (+.f64 (pow.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) 3) (pow.f64 (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (pow.f64 (/.f64 x (exp.f64 x)) 2)) (-.f64 (*.f64 (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))) (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))))) (*.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))))))))
(/.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 (*.f64 (exp.f64 x) (-.f64 x 2)) (*.f64 (exp.f64 x) (-.f64 x 2))))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))))
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(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) (pow.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) 3)) (sqrt.f64 (-.f64 (pow.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x))) 2) (*.f64 (exp.f64 x) (*.f64 x (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x))) 2) (*.f64 (exp.f64 x) (*.f64 x (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) (pow.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) 3)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x))) 2) (*.f64 (exp.f64 x) (*.f64 x (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x))) 2) (*.f64 (exp.f64 x) (*.f64 x (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))))))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x))) 2) (*.f64 (exp.f64 x) (*.f64 x (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))))))))
(/.f64 (/.f64 (+.f64 (*.f64 (exp.f64 x) (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4))) (*.f64 x (*.f64 (exp.f64 x) (-.f64 x 2)))) (exp.f64 x)) (*.f64 (exp.f64 x) (-.f64 x 2)))
(/.f64 (/.f64 (+.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8))) (*.f64 x (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))))))) (exp.f64 x)) (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))))))
(/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 (exp.f64 x) (-.f64 x 2))) (*.f64 (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4)) (neg.f64 (exp.f64 x)))) (neg.f64 (exp.f64 x))) (*.f64 (exp.f64 x) (-.f64 x 2)))
(/.f64 (/.f64 (+.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))))) (*.f64 (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8)) (neg.f64 (exp.f64 x)))) (neg.f64 (exp.f64 x))) (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))))))
(/.f64 (/.f64 (+.f64 (*.f64 (exp.f64 x) (-.f64 x 2)) (*.f64 (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4)) (/.f64 (exp.f64 x) x))) (/.f64 (exp.f64 x) x)) (*.f64 (exp.f64 x) (-.f64 x 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (+.f64 (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))) (*.f64 (/.f64 (exp.f64 x) x) (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8))))) (/.f64 (exp.f64 x) x)) (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))))))
(/.f64 (/.f64 (+.f64 (*.f64 (exp.f64 x) (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4))) (*.f64 x (*.f64 (exp.f64 x) (-.f64 x 2)))) (*.f64 (exp.f64 x) (-.f64 x 2))) (exp.f64 x))
(/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 (exp.f64 x) (-.f64 x 2))) (*.f64 (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4)) (neg.f64 (exp.f64 x)))) (*.f64 (exp.f64 x) (-.f64 x 2))) (neg.f64 (exp.f64 x)))
(/.f64 (/.f64 (+.f64 (*.f64 (exp.f64 x) (-.f64 x 2)) (*.f64 (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4)) (/.f64 (exp.f64 x) x))) (*.f64 (exp.f64 x) (-.f64 x 2))) (/.f64 (exp.f64 x) x))
(/.f64 (/.f64 (+.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8))) (*.f64 x (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))))))) (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))))) (exp.f64 x))
(/.f64 (/.f64 (+.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))))) (*.f64 (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8)) (neg.f64 (exp.f64 x)))) (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))))) (neg.f64 (exp.f64 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (+.f64 (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))) (*.f64 (/.f64 (exp.f64 x) x) (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8))))) (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))))) (/.f64 (exp.f64 x) x))
(/.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4))) (*.f64 x (*.f64 (exp.f64 x) (-.f64 x 2)))) (*.f64 (exp.f64 x) (-.f64 x 2))) (exp.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4)) (neg.f64 (exp.f64 x))) (*.f64 x (*.f64 (exp.f64 x) (-.f64 x 2)))) (*.f64 (exp.f64 x) (-.f64 x 2))) (neg.f64 (exp.f64 x)))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (exp.f64 (+.f64 x x)) 4)) (/.f64 (exp.f64 x) x)) (*.f64 (exp.f64 x) (-.f64 x 2))) (*.f64 (exp.f64 x) (-.f64 x 2))) (/.f64 (exp.f64 x) x))
(/.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8))) (*.f64 x (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))))))) (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))))) (exp.f64 x))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8)) (neg.f64 (exp.f64 x))) (*.f64 x (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))))))) (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))))) (neg.f64 (exp.f64 x)))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) x) (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) (*.f64 (pow.f64 (exp.f64 x) 3) 8))) (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))))) (+.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2) (*.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 2 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x)))))) (/.f64 (exp.f64 x) x))
(pow.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x))) 1)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x))) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x)))))
(log.f64 (/.f64 (exp.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))) (pow.f64 (exp.f64 x) (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x)))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x)))))
(fma.f64 x (exp.f64 x) (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))))
(fma.f64 1 (/.f64 x (exp.f64 x)) (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))))
(fma.f64 1 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))) (sqrt.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))) (/.f64 x (exp.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 x (exp.f64 x))) (sqrt.f64 (/.f64 x (exp.f64 x))) (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))) 2) (cbrt.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x))))) (/.f64 x (exp.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2) (cbrt.f64 (/.f64 x (exp.f64 x))) (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))))
(+.f64 (-.f64 (/.f64 0 (exp.f64 x)) (exp.f64 (log1p.f64 (/.f64 x (exp.f64 x))))) 1)
(+.f64 (-.f64 (/.f64 0 (exp.f64 x)) (/.f64 0 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (exp.f64 x)))) 1)
(-.f64 (/.f64 0 (exp.f64 x)) (/.f64 x (exp.f64 x)))
(*.f64 x (exp.f64 x))
(*.f64 x (neg.f64 (exp.f64 x)))
(*.f64 x (/.f64 -1 (exp.f64 x)))
(*.f64 (exp.f64 x) x)
(*.f64 (/.f64 x (exp.f64 x)) 1)
(*.f64 (/.f64 x (exp.f64 x)) -1)
(*.f64 1 (/.f64 x (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x (sqrt.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (exp.f64 x))) (sqrt.f64 (/.f64 x (exp.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 (exp.f64 x) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 x)) (*.f64 x (cbrt.f64 (exp.f64 (+.f64 x x)))))
(*.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2))
(*.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (exp.f64 (+.f64 x x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 2) (cbrt.f64 (/.f64 x (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (exp.f64 x) (cbrt.f64 x)))
(*.f64 -1 (/.f64 x (exp.f64 x)))
(*.f64 (*.f64 x (cbrt.f64 (exp.f64 (+.f64 x x)))) (cbrt.f64 (exp.f64 x)))
(*.f64 (*.f64 (exp.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (exp.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (*.f64 x (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(*.f64 (/.f64 x (cbrt.f64 (exp.f64 (+.f64 x x)))) (cbrt.f64 (exp.f64 x)))
(*.f64 (*.f64 x (cbrt.f64 (exp.f64 x))) (/.f64 1 (cbrt.f64 (exp.f64 (+.f64 x x)))))
(*.f64 (/.f64 -1 (exp.f64 x)) x)
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (exp.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (exp.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (exp.f64 x)) (/.f64 (sqrt.f64 x) 1))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 (+.f64 x x)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 x))) (/.f64 (sqrt.f64 x) (cbrt.f64 (exp.f64 (+.f64 x x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (exp.f64 x)))
(*.f64 (/.f64 (cbrt.f64 x) (exp.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (exp.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (exp.f64 (+.f64 x x)))) (cbrt.f64 (/.f64 x (exp.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (exp.f64 (+.f64 x x)))) (*.f64 x (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 -1 (sqrt.f64 (exp.f64 x))) (*.f64 x (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 -1 (cbrt.f64 (exp.f64 (+.f64 x x)))) (*.f64 x (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (exp.f64 x))) 1) (sqrt.f64 (exp.f64 x)))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (exp.f64 (+.f64 x x)))) 1) (cbrt.f64 (exp.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (neg.f64 (exp.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (exp.f64 x)) (cbrt.f64 x))
(*.f64 (/.f64 1 (/.f64 (exp.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (exp.f64 x))) (cbrt.f64 x))
(*.f64 (/.f64 -1 (/.f64 (exp.f64 x) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 -1 (/.f64 (exp.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(pow.f64 (/.f64 x (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (exp.f64 x))) 3)
(pow.f64 (/.f64 (exp.f64 x) x) -1)
(pow.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3) 1/3)
(neg.f64 (/.f64 x (exp.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 x (exp.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (exp.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (exp.f64 x))))
(exp.f64 (+.f64 x (log.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 x (exp.f64 x))))
Outputs
2
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 -1 x)))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (neg.f64 x)))
(fma.f64 1/6 (pow.f64 x 3) (-.f64 2 x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -1 x) (*.f64 -1/12 (pow.f64 x 4)))))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 -1 x (*.f64 -1/12 (pow.f64 x 4)))))
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(expm1.f64 (log1p.f64 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(exp.f64 (+.f64 x (log.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 2 eps) x)
0.2b
(/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)
Compiler

Compiled 29 to 20 computations (31% saved)

series3.0ms (0%)

Counts
2 → 44
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)
0.0ms
x
@inf
(/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)
0.0ms
eps
@0
(/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)
0.0ms
eps
@-inf
(/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)
0.0ms
eps
@inf
(/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)

rewrite73.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1474×associate-*r/
1124×associate-*l/
1016×*-commutative
638×distribute-lft-in
458×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0938
121438
2293538
Stop Event
node limit
Counts
2 → 84
Calls
Call 1
Inputs
(/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)
(*.f64 (+.f64 2 eps) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (*.f64 (*.f64 (+.f64 2 eps) x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 1 (neg.f64 (*.f64 (*.f64 (+.f64 2 eps) x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 1/2 (*.f64 x (-.f64 -2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (*.f64 (+.f64 2 eps) x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 x (-.f64 -2 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (*.f64 (*.f64 (+.f64 2 eps) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 2 (*.f64 (*.f64 (+.f64 2 eps) x) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)) (sqrt.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))) 2) (*.f64 (cbrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)) 2) (cbrt.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 2 (*.f64 (+.f64 2 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -2 (*.f64 (+.f64 2 eps) x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))) 1/2) (sqrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))) 1/2) (pow.f64 (cbrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (+.f64 -2 (*.f64 (+.f64 2 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 (sqrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))))) (sqrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))) 2))) (cbrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))) 2) (sqrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))) 2) 2) (cbrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 4 (pow.f64 (*.f64 (+.f64 2 eps) x) 2)) 1/2) (-.f64 4 (pow.f64 (*.f64 (+.f64 2 eps) x) 2))) (-.f64 2 (*.f64 (+.f64 2 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 4 (pow.f64 (*.f64 (+.f64 2 eps) x) 2)) 1/2) (+.f64 8 (pow.f64 (*.f64 (+.f64 2 eps) x) 3))) (+.f64 4 (-.f64 (pow.f64 (*.f64 (+.f64 2 eps) x) 2) (*.f64 (+.f64 2 eps) (*.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 (-.f64 8 (pow.f64 (*.f64 (+.f64 2 eps) x) 3))) (-.f64 16 (*.f64 (*.f64 (*.f64 (+.f64 2 eps) x) (+.f64 2 (*.f64 (+.f64 2 eps) x))) (*.f64 (*.f64 (+.f64 2 eps) x) (+.f64 2 (*.f64 (+.f64 2 eps) x)))))) (-.f64 4 (*.f64 (*.f64 (+.f64 2 eps) x) (+.f64 2 (*.f64 (+.f64 2 eps) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 (-.f64 8 (pow.f64 (*.f64 (+.f64 2 eps) x) 3))) (+.f64 64 (pow.f64 (*.f64 (*.f64 (+.f64 2 eps) x) (+.f64 2 (*.f64 (+.f64 2 eps) x))) 3))) (+.f64 16 (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 2 eps) x) (+.f64 2 (*.f64 (+.f64 2 eps) x))) (*.f64 (*.f64 (+.f64 2 eps) x) (+.f64 2 (*.f64 (+.f64 2 eps) x)))) (*.f64 4 (*.f64 (*.f64 (+.f64 2 eps) x) (+.f64 2 (*.f64 (+.f64 2 eps) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (-.f64 2 (*.f64 (+.f64 2 eps) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (-.f64 2 (*.f64 (*.f64 (+.f64 2 eps) x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 x) (*.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps x) (*.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 2 x)) (*.f64 1 (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 eps x)) (*.f64 1 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 2 eps) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (+.f64 2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 eps eps)) (/.f64 (-.f64 2 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 eps 3)) (/.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 4 (*.f64 eps eps))) (-.f64 2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 8 (pow.f64 eps 3))) (+.f64 4 (*.f64 eps (-.f64 eps 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (-.f64 4 (*.f64 eps eps)))) (neg.f64 (-.f64 2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (+.f64 8 (pow.f64 eps 3)))) (neg.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (*.f64 eps eps) 4)) (-.f64 eps 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 x (-.f64 4 (*.f64 eps eps)))) (-.f64 2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 x (+.f64 8 (pow.f64 eps 3)))) (+.f64 4 (*.f64 eps (-.f64 eps 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 2 eps))) (sqrt.f64 (-.f64 4 (*.f64 eps eps)))) (sqrt.f64 (-.f64 2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 2 eps))) (sqrt.f64 (+.f64 8 (pow.f64 eps 3)))) (sqrt.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 2 eps)) 2)) (cbrt.f64 (-.f64 4 (*.f64 eps eps)))) (cbrt.f64 (-.f64 2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 2 eps)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 eps 3)))) (cbrt.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 4 (*.f64 eps eps))) x) (neg.f64 (-.f64 2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 8 (pow.f64 eps 3))) x) (neg.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 eps eps) 4) x) (-.f64 eps 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (-.f64 4 (*.f64 eps eps))) 1) (-.f64 2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 8 (pow.f64 eps 3))) 1) (+.f64 4 (*.f64 eps (-.f64 eps 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 4 (*.f64 eps eps))) (*.f64 x (sqrt.f64 (+.f64 2 eps)))) (sqrt.f64 (-.f64 2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 8 (pow.f64 eps 3))) (*.f64 x (sqrt.f64 (+.f64 2 eps)))) (sqrt.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 4 (*.f64 eps eps))) 1) (-.f64 2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 4 (*.f64 eps eps))) (sqrt.f64 (-.f64 2 eps))) (sqrt.f64 (-.f64 2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 4 (*.f64 eps eps))) (*.f64 (cbrt.f64 (-.f64 2 eps)) (cbrt.f64 (-.f64 2 eps)))) (cbrt.f64 (-.f64 2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 8 (pow.f64 eps 3))) 1) (+.f64 4 (*.f64 eps (-.f64 eps 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 8 (pow.f64 eps 3))) (sqrt.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2))))) (sqrt.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 8 (pow.f64 eps 3))) (*.f64 (cbrt.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2)))) (cbrt.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2)))))) (cbrt.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 2 eps) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 2 eps) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 2 eps) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 2 eps) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 2 eps) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 2 eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 2 eps) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 2 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 2 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 2 eps) x)))))))

simplify73.0ms (0.5%)

Algorithm
egg-herbie
Rules
1274×associate-/l*
980×unswap-sqr
738×associate-*r/
612×associate-/r*
574×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02383664
16513388
228933338
Stop Event
node limit
Counts
128 → 142
Calls
Call 1
Inputs
(*.f64 1/2 (-.f64 2 (*.f64 2 x)))
(+.f64 (*.f64 1/2 (-.f64 2 (*.f64 2 x))) (*.f64 -1/2 (*.f64 eps x)))
(+.f64 (*.f64 1/2 (-.f64 2 (*.f64 2 x))) (*.f64 -1/2 (*.f64 eps x)))
(+.f64 (*.f64 1/2 (-.f64 2 (*.f64 2 x))) (*.f64 -1/2 (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps x))
(+.f64 (*.f64 1/2 (-.f64 2 (*.f64 2 x))) (*.f64 -1/2 (*.f64 eps x)))
(+.f64 (*.f64 1/2 (-.f64 2 (*.f64 2 x))) (*.f64 -1/2 (*.f64 eps x)))
(+.f64 (*.f64 1/2 (-.f64 2 (*.f64 2 x))) (*.f64 -1/2 (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps x))
(+.f64 (*.f64 1/2 (-.f64 2 (*.f64 2 x))) (*.f64 -1/2 (*.f64 eps x)))
(+.f64 (*.f64 1/2 (-.f64 2 (*.f64 2 x))) (*.f64 -1/2 (*.f64 eps x)))
(+.f64 (*.f64 1/2 (-.f64 2 (*.f64 2 x))) (*.f64 -1/2 (*.f64 eps x)))
1
(+.f64 1 (*.f64 -1/2 (*.f64 (+.f64 2 eps) x)))
(+.f64 1 (*.f64 -1/2 (*.f64 (+.f64 2 eps) x)))
(+.f64 1 (*.f64 -1/2 (*.f64 (+.f64 2 eps) x)))
(*.f64 -1/2 (*.f64 (+.f64 2 eps) x))
(+.f64 1 (*.f64 -1/2 (*.f64 (+.f64 2 eps) x)))
(+.f64 1 (*.f64 -1/2 (*.f64 (+.f64 2 eps) x)))
(+.f64 1 (*.f64 -1/2 (*.f64 (+.f64 2 eps) x)))
(*.f64 -1/2 (*.f64 (+.f64 2 eps) x))
(+.f64 1 (*.f64 -1/2 (*.f64 (+.f64 2 eps) x)))
(+.f64 1 (*.f64 -1/2 (*.f64 (+.f64 2 eps) x)))
(+.f64 1 (*.f64 -1/2 (*.f64 (+.f64 2 eps) x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 eps x))
(+.f64 (*.f64 2 x) (*.f64 eps x))
(+.f64 (*.f64 2 x) (*.f64 eps x))
(*.f64 eps x)
(+.f64 (*.f64 2 x) (*.f64 eps x))
(+.f64 (*.f64 2 x) (*.f64 eps x))
(+.f64 (*.f64 2 x) (*.f64 eps x))
(*.f64 eps x)
(+.f64 (*.f64 2 x) (*.f64 eps x))
(+.f64 (*.f64 2 x) (*.f64 eps x))
(+.f64 (*.f64 2 x) (*.f64 eps x))
(*.f64 (+.f64 eps 2) x)
(*.f64 (+.f64 eps 2) x)
(*.f64 (+.f64 eps 2) x)
(*.f64 (+.f64 eps 2) x)
(*.f64 (+.f64 eps 2) x)
(*.f64 (+.f64 eps 2) x)
(*.f64 (+.f64 eps 2) x)
(*.f64 (+.f64 eps 2) x)
(+.f64 1 (neg.f64 (*.f64 (*.f64 (+.f64 2 eps) x) 1/2)))
(+.f64 1 (*.f64 1 (neg.f64 (*.f64 (*.f64 (+.f64 2 eps) x) 1/2))))
(+.f64 1 (*.f64 1/2 (*.f64 x (-.f64 -2 eps))))
(+.f64 (neg.f64 (*.f64 (*.f64 (+.f64 2 eps) x) 1/2)) 1)
(+.f64 (*.f64 1/2 (*.f64 x (-.f64 -2 eps))) 1)
(-.f64 1 (*.f64 (*.f64 (+.f64 2 eps) x) 1/2))
(-.f64 (exp.f64 (log.f64 (-.f64 2 (*.f64 (*.f64 (+.f64 2 eps) x) 1/2)))) 1)
(*.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 1/2)
(*.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2) 1)
(*.f64 1 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2))
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))) 1/2))
(*.f64 (sqrt.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)) (sqrt.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))) 2) (*.f64 (cbrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))) 1/2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)) 2) (cbrt.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)))
(*.f64 1/2 (-.f64 2 (*.f64 (+.f64 2 eps) x)))
(*.f64 (+.f64 -2 (*.f64 (+.f64 2 eps) x)) -1/2)
(*.f64 (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))) 1/2) (sqrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))) 1/2) (pow.f64 (cbrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))) 2))
(*.f64 -1/2 (+.f64 -2 (*.f64 (+.f64 2 eps) x)))
(*.f64 (/.f64 1 (/.f64 2 (sqrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))))) (sqrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))))
(*.f64 (/.f64 1 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))) 2))) (cbrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))) 2) (sqrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))) 2) 2) (cbrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))))
(*.f64 (/.f64 (*.f64 (-.f64 4 (pow.f64 (*.f64 (+.f64 2 eps) x) 2)) 1/2) (-.f64 4 (pow.f64 (*.f64 (+.f64 2 eps) x) 2))) (-.f64 2 (*.f64 (+.f64 2 eps) x)))
(*.f64 (/.f64 (*.f64 (-.f64 4 (pow.f64 (*.f64 (+.f64 2 eps) x) 2)) 1/2) (+.f64 8 (pow.f64 (*.f64 (+.f64 2 eps) x) 3))) (+.f64 4 (-.f64 (pow.f64 (*.f64 (+.f64 2 eps) x) 2) (*.f64 (+.f64 2 eps) (*.f64 2 x)))))
(*.f64 (/.f64 (*.f64 1/2 (-.f64 8 (pow.f64 (*.f64 (+.f64 2 eps) x) 3))) (-.f64 16 (*.f64 (*.f64 (*.f64 (+.f64 2 eps) x) (+.f64 2 (*.f64 (+.f64 2 eps) x))) (*.f64 (*.f64 (+.f64 2 eps) x) (+.f64 2 (*.f64 (+.f64 2 eps) x)))))) (-.f64 4 (*.f64 (*.f64 (+.f64 2 eps) x) (+.f64 2 (*.f64 (+.f64 2 eps) x)))))
(*.f64 (/.f64 (*.f64 1/2 (-.f64 8 (pow.f64 (*.f64 (+.f64 2 eps) x) 3))) (+.f64 64 (pow.f64 (*.f64 (*.f64 (+.f64 2 eps) x) (+.f64 2 (*.f64 (+.f64 2 eps) x))) 3))) (+.f64 16 (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 2 eps) x) (+.f64 2 (*.f64 (+.f64 2 eps) x))) (*.f64 (*.f64 (+.f64 2 eps) x) (+.f64 2 (*.f64 (+.f64 2 eps) x)))) (*.f64 4 (*.f64 (*.f64 (+.f64 2 eps) x) (+.f64 2 (*.f64 (+.f64 2 eps) x)))))))
(pow.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2) 3) 1/3)
(pow.f64 (/.f64 2 (-.f64 2 (*.f64 (+.f64 2 eps) x))) -1)
(neg.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) -2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2) 2))
(log.f64 (sqrt.f64 (exp.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2) 3))
(expm1.f64 (log.f64 (-.f64 2 (*.f64 (*.f64 (+.f64 2 eps) x) 1/2))))
(exp.f64 (log.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)))
(+.f64 (*.f64 2 x) (*.f64 eps x))
(+.f64 (*.f64 eps x) (*.f64 2 x))
(+.f64 (*.f64 1 (*.f64 2 x)) (*.f64 1 (*.f64 eps x)))
(+.f64 (*.f64 1 (*.f64 eps x)) (*.f64 1 (*.f64 2 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 2 eps) x))) 1)
(/.f64 x (/.f64 1 (+.f64 2 eps)))
(/.f64 (-.f64 4 (*.f64 eps eps)) (/.f64 (-.f64 2 eps) x))
(/.f64 (+.f64 8 (pow.f64 eps 3)) (/.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2))) x))
(/.f64 (*.f64 x (-.f64 4 (*.f64 eps eps))) (-.f64 2 eps))
(/.f64 (*.f64 x (+.f64 8 (pow.f64 eps 3))) (+.f64 4 (*.f64 eps (-.f64 eps 2))))
(/.f64 (*.f64 x (neg.f64 (-.f64 4 (*.f64 eps eps)))) (neg.f64 (-.f64 2 eps)))
(/.f64 (*.f64 x (neg.f64 (+.f64 8 (pow.f64 eps 3)))) (neg.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2)))))
(/.f64 (*.f64 x (-.f64 (*.f64 eps eps) 4)) (-.f64 eps 2))
(/.f64 (*.f64 1 (*.f64 x (-.f64 4 (*.f64 eps eps)))) (-.f64 2 eps))
(/.f64 (*.f64 1 (*.f64 x (+.f64 8 (pow.f64 eps 3)))) (+.f64 4 (*.f64 eps (-.f64 eps 2))))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 2 eps))) (sqrt.f64 (-.f64 4 (*.f64 eps eps)))) (sqrt.f64 (-.f64 2 eps)))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 2 eps))) (sqrt.f64 (+.f64 8 (pow.f64 eps 3)))) (sqrt.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2)))))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 2 eps)) 2)) (cbrt.f64 (-.f64 4 (*.f64 eps eps)))) (cbrt.f64 (-.f64 2 eps)))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 2 eps)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 eps 3)))) (cbrt.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2)))))
(/.f64 (*.f64 (neg.f64 (-.f64 4 (*.f64 eps eps))) x) (neg.f64 (-.f64 2 eps)))
(/.f64 (*.f64 (neg.f64 (+.f64 8 (pow.f64 eps 3))) x) (neg.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 eps eps) 4) x) (-.f64 eps 2))
(/.f64 (*.f64 (*.f64 x (-.f64 4 (*.f64 eps eps))) 1) (-.f64 2 eps))
(/.f64 (*.f64 (*.f64 x (+.f64 8 (pow.f64 eps 3))) 1) (+.f64 4 (*.f64 eps (-.f64 eps 2))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 4 (*.f64 eps eps))) (*.f64 x (sqrt.f64 (+.f64 2 eps)))) (sqrt.f64 (-.f64 2 eps)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 8 (pow.f64 eps 3))) (*.f64 x (sqrt.f64 (+.f64 2 eps)))) (sqrt.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2)))))
(/.f64 (/.f64 (*.f64 x (-.f64 4 (*.f64 eps eps))) 1) (-.f64 2 eps))
(/.f64 (/.f64 (*.f64 x (-.f64 4 (*.f64 eps eps))) (sqrt.f64 (-.f64 2 eps))) (sqrt.f64 (-.f64 2 eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 4 (*.f64 eps eps))) (*.f64 (cbrt.f64 (-.f64 2 eps)) (cbrt.f64 (-.f64 2 eps)))) (cbrt.f64 (-.f64 2 eps)))
(/.f64 (/.f64 (*.f64 x (+.f64 8 (pow.f64 eps 3))) 1) (+.f64 4 (*.f64 eps (-.f64 eps 2))))
(/.f64 (/.f64 (*.f64 x (+.f64 8 (pow.f64 eps 3))) (sqrt.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2))))) (sqrt.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2)))))
(/.f64 (/.f64 (*.f64 x (+.f64 8 (pow.f64 eps 3))) (*.f64 (cbrt.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2)))) (cbrt.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2)))))) (cbrt.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2)))))
(pow.f64 (*.f64 (+.f64 2 eps) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 2 eps) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 2 eps) x)) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 2 eps) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 2 eps) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 2 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 2 eps) x))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 2 eps) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 2 eps) x)))
(exp.f64 (log.f64 (*.f64 (+.f64 2 eps) x)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 2 eps) x)))
Outputs
(*.f64 1/2 (-.f64 2 (*.f64 2 x)))
(+.f64 1 (*.f64 (*.f64 x -2) 1/2))
(+.f64 1 (*.f64 1/2 (*.f64 x -2)))
(+.f64 (*.f64 1/2 (-.f64 2 (*.f64 2 x))) (*.f64 -1/2 (*.f64 eps x)))
(fma.f64 1/2 (-.f64 2 (*.f64 2 x)) (*.f64 -1/2 (*.f64 x eps)))
(fma.f64 -1/2 (*.f64 x eps) (+.f64 1 (*.f64 (*.f64 x -2) 1/2)))
(fma.f64 -1/2 (*.f64 x eps) (+.f64 1 (*.f64 1/2 (*.f64 x -2))))
(+.f64 (*.f64 1/2 (-.f64 2 (*.f64 2 x))) (*.f64 -1/2 (*.f64 eps x)))
(fma.f64 1/2 (-.f64 2 (*.f64 2 x)) (*.f64 -1/2 (*.f64 x eps)))
(fma.f64 -1/2 (*.f64 x eps) (+.f64 1 (*.f64 (*.f64 x -2) 1/2)))
(fma.f64 -1/2 (*.f64 x eps) (+.f64 1 (*.f64 1/2 (*.f64 x -2))))
(+.f64 (*.f64 1/2 (-.f64 2 (*.f64 2 x))) (*.f64 -1/2 (*.f64 eps x)))
(fma.f64 1/2 (-.f64 2 (*.f64 2 x)) (*.f64 -1/2 (*.f64 x eps)))
(fma.f64 -1/2 (*.f64 x eps) (+.f64 1 (*.f64 (*.f64 x -2) 1/2)))
(fma.f64 -1/2 (*.f64 x eps) (+.f64 1 (*.f64 1/2 (*.f64 x -2))))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 x eps))
(*.f64 eps (*.f64 x -1/2))
(+.f64 (*.f64 1/2 (-.f64 2 (*.f64 2 x))) (*.f64 -1/2 (*.f64 eps x)))
(fma.f64 1/2 (-.f64 2 (*.f64 2 x)) (*.f64 -1/2 (*.f64 x eps)))
(fma.f64 -1/2 (*.f64 x eps) (+.f64 1 (*.f64 (*.f64 x -2) 1/2)))
(fma.f64 -1/2 (*.f64 x eps) (+.f64 1 (*.f64 1/2 (*.f64 x -2))))
(+.f64 (*.f64 1/2 (-.f64 2 (*.f64 2 x))) (*.f64 -1/2 (*.f64 eps x)))
(fma.f64 1/2 (-.f64 2 (*.f64 2 x)) (*.f64 -1/2 (*.f64 x eps)))
(fma.f64 -1/2 (*.f64 x eps) (+.f64 1 (*.f64 (*.f64 x -2) 1/2)))
(fma.f64 -1/2 (*.f64 x eps) (+.f64 1 (*.f64 1/2 (*.f64 x -2))))
(+.f64 (*.f64 1/2 (-.f64 2 (*.f64 2 x))) (*.f64 -1/2 (*.f64 eps x)))
(fma.f64 1/2 (-.f64 2 (*.f64 2 x)) (*.f64 -1/2 (*.f64 x eps)))
(fma.f64 -1/2 (*.f64 x eps) (+.f64 1 (*.f64 (*.f64 x -2) 1/2)))
(fma.f64 -1/2 (*.f64 x eps) (+.f64 1 (*.f64 1/2 (*.f64 x -2))))
(*.f64 -1/2 (*.f64 eps x))
(*.f64 -1/2 (*.f64 x eps))
(*.f64 eps (*.f64 x -1/2))
(+.f64 (*.f64 1/2 (-.f64 2 (*.f64 2 x))) (*.f64 -1/2 (*.f64 eps x)))
(fma.f64 1/2 (-.f64 2 (*.f64 2 x)) (*.f64 -1/2 (*.f64 x eps)))
(fma.f64 -1/2 (*.f64 x eps) (+.f64 1 (*.f64 (*.f64 x -2) 1/2)))
(fma.f64 -1/2 (*.f64 x eps) (+.f64 1 (*.f64 1/2 (*.f64 x -2))))
(+.f64 (*.f64 1/2 (-.f64 2 (*.f64 2 x))) (*.f64 -1/2 (*.f64 eps x)))
(fma.f64 1/2 (-.f64 2 (*.f64 2 x)) (*.f64 -1/2 (*.f64 x eps)))
(fma.f64 -1/2 (*.f64 x eps) (+.f64 1 (*.f64 (*.f64 x -2) 1/2)))
(fma.f64 -1/2 (*.f64 x eps) (+.f64 1 (*.f64 1/2 (*.f64 x -2))))
(+.f64 (*.f64 1/2 (-.f64 2 (*.f64 2 x))) (*.f64 -1/2 (*.f64 eps x)))
(fma.f64 1/2 (-.f64 2 (*.f64 2 x)) (*.f64 -1/2 (*.f64 x eps)))
(fma.f64 -1/2 (*.f64 x eps) (+.f64 1 (*.f64 (*.f64 x -2) 1/2)))
(fma.f64 -1/2 (*.f64 x eps) (+.f64 1 (*.f64 1/2 (*.f64 x -2))))
1
(+.f64 1 (*.f64 -1/2 (*.f64 (+.f64 2 eps) x)))
(+.f64 1 (*.f64 -1/2 (*.f64 x (+.f64 2 eps))))
(*.f64 -1/2 (fma.f64 x (+.f64 2 eps) -2))
(+.f64 1 (*.f64 -1/2 (*.f64 (+.f64 2 eps) x)))
(+.f64 1 (*.f64 -1/2 (*.f64 x (+.f64 2 eps))))
(*.f64 -1/2 (fma.f64 x (+.f64 2 eps) -2))
(+.f64 1 (*.f64 -1/2 (*.f64 (+.f64 2 eps) x)))
(+.f64 1 (*.f64 -1/2 (*.f64 x (+.f64 2 eps))))
(*.f64 -1/2 (fma.f64 x (+.f64 2 eps) -2))
(*.f64 -1/2 (*.f64 (+.f64 2 eps) x))
(*.f64 -1/2 (*.f64 x (+.f64 2 eps)))
(*.f64 (*.f64 1/2 x) (-.f64 -2 eps))
(*.f64 1/2 (*.f64 x (-.f64 -2 eps)))
(+.f64 1 (*.f64 -1/2 (*.f64 (+.f64 2 eps) x)))
(+.f64 1 (*.f64 -1/2 (*.f64 x (+.f64 2 eps))))
(*.f64 -1/2 (fma.f64 x (+.f64 2 eps) -2))
(+.f64 1 (*.f64 -1/2 (*.f64 (+.f64 2 eps) x)))
(+.f64 1 (*.f64 -1/2 (*.f64 x (+.f64 2 eps))))
(*.f64 -1/2 (fma.f64 x (+.f64 2 eps) -2))
(+.f64 1 (*.f64 -1/2 (*.f64 (+.f64 2 eps) x)))
(+.f64 1 (*.f64 -1/2 (*.f64 x (+.f64 2 eps))))
(*.f64 -1/2 (fma.f64 x (+.f64 2 eps) -2))
(*.f64 -1/2 (*.f64 (+.f64 2 eps) x))
(*.f64 -1/2 (*.f64 x (+.f64 2 eps)))
(*.f64 (*.f64 1/2 x) (-.f64 -2 eps))
(*.f64 1/2 (*.f64 x (-.f64 -2 eps)))
(+.f64 1 (*.f64 -1/2 (*.f64 (+.f64 2 eps) x)))
(+.f64 1 (*.f64 -1/2 (*.f64 x (+.f64 2 eps))))
(*.f64 -1/2 (fma.f64 x (+.f64 2 eps) -2))
(+.f64 1 (*.f64 -1/2 (*.f64 (+.f64 2 eps) x)))
(+.f64 1 (*.f64 -1/2 (*.f64 x (+.f64 2 eps))))
(*.f64 -1/2 (fma.f64 x (+.f64 2 eps) -2))
(+.f64 1 (*.f64 -1/2 (*.f64 (+.f64 2 eps) x)))
(+.f64 1 (*.f64 -1/2 (*.f64 x (+.f64 2 eps))))
(*.f64 -1/2 (fma.f64 x (+.f64 2 eps) -2))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 eps x))
(*.f64 x (+.f64 2 eps))
(+.f64 (*.f64 2 x) (*.f64 eps x))
(*.f64 x (+.f64 2 eps))
(+.f64 (*.f64 2 x) (*.f64 eps x))
(*.f64 x (+.f64 2 eps))
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 2 x) (*.f64 eps x))
(*.f64 x (+.f64 2 eps))
(+.f64 (*.f64 2 x) (*.f64 eps x))
(*.f64 x (+.f64 2 eps))
(+.f64 (*.f64 2 x) (*.f64 eps x))
(*.f64 x (+.f64 2 eps))
(*.f64 eps x)
(*.f64 x eps)
(+.f64 (*.f64 2 x) (*.f64 eps x))
(*.f64 x (+.f64 2 eps))
(+.f64 (*.f64 2 x) (*.f64 eps x))
(*.f64 x (+.f64 2 eps))
(+.f64 (*.f64 2 x) (*.f64 eps x))
(*.f64 x (+.f64 2 eps))
(*.f64 (+.f64 eps 2) x)
(*.f64 x (+.f64 2 eps))
(*.f64 (+.f64 eps 2) x)
(*.f64 x (+.f64 2 eps))
(*.f64 (+.f64 eps 2) x)
(*.f64 x (+.f64 2 eps))
(*.f64 (+.f64 eps 2) x)
(*.f64 x (+.f64 2 eps))
(*.f64 (+.f64 eps 2) x)
(*.f64 x (+.f64 2 eps))
(*.f64 (+.f64 eps 2) x)
(*.f64 x (+.f64 2 eps))
(*.f64 (+.f64 eps 2) x)
(*.f64 x (+.f64 2 eps))
(*.f64 (+.f64 eps 2) x)
(*.f64 x (+.f64 2 eps))
(+.f64 1 (neg.f64 (*.f64 (*.f64 (+.f64 2 eps) x) 1/2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x (+.f64 2 eps))))
(*.f64 -1/2 (fma.f64 x (+.f64 2 eps) -2))
(+.f64 1 (*.f64 1 (neg.f64 (*.f64 (*.f64 (+.f64 2 eps) x) 1/2))))
(+.f64 1 (*.f64 -1/2 (*.f64 x (+.f64 2 eps))))
(*.f64 -1/2 (fma.f64 x (+.f64 2 eps) -2))
(+.f64 1 (*.f64 1/2 (*.f64 x (-.f64 -2 eps))))
(+.f64 1 (*.f64 -1/2 (*.f64 x (+.f64 2 eps))))
(*.f64 -1/2 (fma.f64 x (+.f64 2 eps) -2))
(+.f64 (neg.f64 (*.f64 (*.f64 (+.f64 2 eps) x) 1/2)) 1)
(+.f64 1 (*.f64 -1/2 (*.f64 x (+.f64 2 eps))))
(*.f64 -1/2 (fma.f64 x (+.f64 2 eps) -2))
(+.f64 (*.f64 1/2 (*.f64 x (-.f64 -2 eps))) 1)
(+.f64 1 (*.f64 -1/2 (*.f64 x (+.f64 2 eps))))
(*.f64 -1/2 (fma.f64 x (+.f64 2 eps) -2))
(-.f64 1 (*.f64 (*.f64 (+.f64 2 eps) x) 1/2))
(+.f64 1 (*.f64 -1/2 (*.f64 x (+.f64 2 eps))))
(*.f64 -1/2 (fma.f64 x (+.f64 2 eps) -2))
(-.f64 (exp.f64 (log.f64 (-.f64 2 (*.f64 (*.f64 (+.f64 2 eps) x) 1/2)))) 1)
(+.f64 1 (*.f64 -1/2 (*.f64 x (+.f64 2 eps))))
(*.f64 -1/2 (fma.f64 x (+.f64 2 eps) -2))
(*.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 1/2)
(+.f64 1 (*.f64 -1/2 (*.f64 x (+.f64 2 eps))))
(*.f64 -1/2 (fma.f64 x (+.f64 2 eps) -2))
(*.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2) 1)
(+.f64 1 (*.f64 -1/2 (*.f64 x (+.f64 2 eps))))
(*.f64 -1/2 (fma.f64 x (+.f64 2 eps) -2))
(*.f64 1 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2))
(+.f64 1 (*.f64 -1/2 (*.f64 x (+.f64 2 eps))))
(*.f64 -1/2 (fma.f64 x (+.f64 2 eps) -2))
(*.f64 (sqrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))) 1/2))
(+.f64 1 (*.f64 -1/2 (*.f64 x (+.f64 2 eps))))
(*.f64 -1/2 (fma.f64 x (+.f64 2 eps) -2))
(*.f64 (sqrt.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)) (sqrt.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x (+.f64 2 eps))))
(*.f64 -1/2 (fma.f64 x (+.f64 2 eps) -2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))) 2) (*.f64 (cbrt.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x))) 1/2))
(+.f64 1 (*.f64 -1/2 (*.f64 x (+.f64 2 eps))))
(*.f64 -1/2 (fma.f64 x (+.f64 2 eps) -2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)) 2))
(+.f64 1 (*.f64 -1/2 (*.f64 x (+.f64 2 eps))))
(*.f64 -1/2 (fma.f64 x (+.f64 2 eps) -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)) 2) (cbrt.f64 (/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x (+.f64 2 eps))))
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(/.f64 (*.f64 x (sqrt.f64 (+.f64 2 eps))) (/.f64 (sqrt.f64 (-.f64 2 eps)) (sqrt.f64 (-.f64 4 (*.f64 eps eps)))))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 (+.f64 2 eps))) (sqrt.f64 (-.f64 2 eps))) (sqrt.f64 (-.f64 4 (*.f64 eps eps))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 4 (*.f64 eps eps))) (sqrt.f64 (-.f64 2 eps))) (*.f64 x (sqrt.f64 (+.f64 2 eps))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 8 (pow.f64 eps 3))) (*.f64 x (sqrt.f64 (+.f64 2 eps)))) (sqrt.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2)))))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 (+.f64 2 eps)) (sqrt.f64 (+.f64 8 (pow.f64 eps 3))))) (sqrt.f64 (+.f64 4 (*.f64 eps (+.f64 eps -2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 8 (pow.f64 eps 3))) (sqrt.f64 (fma.f64 eps (+.f64 eps -2) 4))) (*.f64 x (sqrt.f64 (+.f64 2 eps))))
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 eps (+.f64 eps -2) 4))) (*.f64 (sqrt.f64 (+.f64 2 eps)) (sqrt.f64 (+.f64 8 (pow.f64 eps 3)))))
(/.f64 (/.f64 (*.f64 x (-.f64 4 (*.f64 eps eps))) 1) (-.f64 2 eps))
(*.f64 (/.f64 (-.f64 4 (*.f64 eps eps)) (-.f64 2 eps)) x)
(*.f64 (/.f64 x (-.f64 2 eps)) (-.f64 4 (*.f64 eps eps)))
(*.f64 x (/.f64 (fma.f64 eps eps -4) (+.f64 eps -2)))
(/.f64 (/.f64 (*.f64 x (-.f64 4 (*.f64 eps eps))) (sqrt.f64 (-.f64 2 eps))) (sqrt.f64 (-.f64 2 eps)))
(*.f64 (/.f64 (-.f64 4 (*.f64 eps eps)) (-.f64 2 eps)) x)
(*.f64 (/.f64 x (-.f64 2 eps)) (-.f64 4 (*.f64 eps eps)))
(*.f64 x (/.f64 (fma.f64 eps eps -4) (+.f64 eps -2)))
(/.f64 (/.f64 (*.f64 x (-.f64 4 (*.f64 eps eps))) (*.f64 (cbrt.f64 (-.f64 2 eps)) (cbrt.f64 (-.f64 2 eps)))) (cbrt.f64 (-.f64 2 eps)))
(*.f64 (/.f64 (-.f64 4 (*.f64 eps eps)) (-.f64 2 eps)) x)
(*.f64 (/.f64 x (-.f64 2 eps)) (-.f64 4 (*.f64 eps eps)))
(*.f64 x (/.f64 (fma.f64 eps eps -4) (+.f64 eps -2)))
(/.f64 (/.f64 (*.f64 x (+.f64 8 (pow.f64 eps 3))) 1) (+.f64 4 (*.f64 eps (-.f64 eps 2))))
(*.f64 (/.f64 (+.f64 8 (pow.f64 eps 3)) (+.f64 4 (*.f64 eps (+.f64 eps -2)))) x)
(*.f64 x (/.f64 (+.f64 8 (pow.f64 eps 3)) (fma.f64 eps (+.f64 eps -2) 4)))
(*.f64 (/.f64 x (fma.f64 eps (+.f64 eps -2) 4)) (+.f64 8 (pow.f64 eps 3)))
(/.f64 (/.f64 (*.f64 x (+.f64 8 (pow.f64 eps 3))) (sqrt.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2))))) (sqrt.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2)))))
(*.f64 (/.f64 (+.f64 8 (pow.f64 eps 3)) (+.f64 4 (*.f64 eps (+.f64 eps -2)))) x)
(*.f64 x (/.f64 (+.f64 8 (pow.f64 eps 3)) (fma.f64 eps (+.f64 eps -2) 4)))
(*.f64 (/.f64 x (fma.f64 eps (+.f64 eps -2) 4)) (+.f64 8 (pow.f64 eps 3)))
(/.f64 (/.f64 (*.f64 x (+.f64 8 (pow.f64 eps 3))) (*.f64 (cbrt.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2)))) (cbrt.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2)))))) (cbrt.f64 (+.f64 4 (*.f64 eps (-.f64 eps 2)))))
(*.f64 (/.f64 (+.f64 8 (pow.f64 eps 3)) (+.f64 4 (*.f64 eps (+.f64 eps -2)))) x)
(*.f64 x (/.f64 (+.f64 8 (pow.f64 eps 3)) (fma.f64 eps (+.f64 eps -2) 4)))
(*.f64 (/.f64 x (fma.f64 eps (+.f64 eps -2) 4)) (+.f64 8 (pow.f64 eps 3)))
(pow.f64 (*.f64 (+.f64 2 eps) x) 1)
(*.f64 x (+.f64 2 eps))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 2 eps) x)) 2)
(*.f64 x (+.f64 2 eps))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 2 eps) x)) 3)
(*.f64 x (+.f64 2 eps))
(pow.f64 (pow.f64 (*.f64 (+.f64 2 eps) x) 3) 1/3)
(*.f64 x (+.f64 2 eps))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 2 eps) x) 2))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 2 eps)) 2))
(fabs.f64 (*.f64 x (+.f64 2 eps)))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 2 eps)))
(*.f64 x (+.f64 2 eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 2 eps) x))))
(*.f64 x (+.f64 2 eps))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 2 eps) x) 3))
(*.f64 x (+.f64 2 eps))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 2 eps) x)))
(*.f64 x (+.f64 2 eps))
(exp.f64 (log.f64 (*.f64 (+.f64 2 eps) x)))
(*.f64 x (+.f64 2 eps))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 2 eps) x)))
(*.f64 x (+.f64 2 eps))

localize18.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 -1 x) (exp.f64 x))
Compiler

Compiled 35 to 23 computations (34.3% saved)

localize22.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 -1 x) (exp.f64 x))
Compiler

Compiled 63 to 37 computations (41.3% saved)

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
0.0b
(hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))
0.0b
(*.f64 (neg.f64 x) (+.f64 1 eps))
Compiler

Compiled 57 to 38 computations (33.3% saved)

series7.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@0
(hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))
1.0ms
eps
@0
(hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))
1.0ms
x
@inf
(hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))
1.0ms
eps
@inf
(hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))
1.0ms
eps
@-inf
(hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))

rewrite90.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
902×*-commutative
734×unswap-sqr
644×associate-*r/
528×swap-sqr
524×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01165
122753
2290053
Stop Event
node limit
Counts
3 → 173
Calls
Call 1
Inputs
(*.f64 (neg.f64 x) (+.f64 1 eps))
(hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (neg.f64 x) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))) (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (*.f64 x eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x eps) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) (*.f64 1 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2))) (*.f64 1 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 eps) 0) (*.f64 (neg.f64 x) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) (*.f64 -1 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2))) (*.f64 -1 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) 0) (*.f64 (neg.f64 x) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 1) (*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (+.f64 1 eps)) (*.f64 (neg.f64 x) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 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egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (+.f64 1 (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x eps) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x eps) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (*.f64 x eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)) 2) (*.f64 (neg.f64 x) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 (-.f64 1 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 eps 3)) (/.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (pow.f64 eps 3) x)) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)) (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (*.f64 eps eps) 1)) (-.f64 eps 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (-.f64 1 (*.f64 eps eps)))) (neg.f64 (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 -1 (neg.f64 (pow.f64 eps 3)))) (+.f64 -1 (neg.f64 (-.f64 (*.f64 eps eps) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 x (-.f64 1 (*.f64 eps eps)))) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 x (*.f64 (pow.f64 eps 3) x))) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3))) (+.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)) (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 eps) (+.f64 (*.f64 x x) 0)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 eps) (+.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 eps eps)))) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 x (*.f64 (pow.f64 eps 3) x))) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3))) (+.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)) (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (-.f64 1 (*.f64 eps eps)))) (sqrt.f64 (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 (pow.f64 eps 3)))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (-.f64 1 (*.f64 eps eps)))) (cbrt.f64 (-.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 eps 3)))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps))))))) (#(struct:change #<rule egg-rr> 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eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 1 eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (+.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 (neg.f64 x) (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) (sqrt.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)) (cbrt.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))))))

simplify119.0ms (0.9%)

Algorithm
egg-herbie
Rules
1082×associate-+r+
1014×associate-*r/
778×associate-*r*
666×associate-*l/
646×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05268725
114537023
255036955
Stop Event
node limit
Counts
245 → 302
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 -1 x)
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(*.f64 -1 (*.f64 eps x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1 x))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 eps) x) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 2 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (*.f64 -1 (/.f64 (+.f64 eps 1) (sqrt.f64 2))) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 eps) x) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 2 (pow.f64 (+.f64 1 eps) 2)) (pow.f64 (*.f64 -1 (/.f64 (+.f64 eps 1) (sqrt.f64 2))) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 eps) x) (sqrt.f64 2))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1/3 (pow.f64 (+.f64 1 eps) 3)) (*.f64 -1 (pow.f64 (+.f64 1 eps) 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 eps 1) (-.f64 (*.f64 2 (pow.f64 (+.f64 eps 1) 2)) (pow.f64 (*.f64 -1 (/.f64 (+.f64 1 eps) (sqrt.f64 2))) 2))) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))))))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 1 eps) x))) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)))
(+.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2))) (*.f64 -1 (*.f64 (*.f64 eps (*.f64 (pow.f64 (exp.f64 (*.f64 -1 x)) 2) x)) (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)))))))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 -1 x)) 2) (pow.f64 x 2))) (pow.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1 x)) 2) x))) 2))) (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)))))) (+.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2))) (*.f64 -1 (*.f64 (*.f64 eps (*.f64 (pow.f64 (exp.f64 (*.f64 -1 x)) 2) x)) (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2))))))))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 -1 x)) 2) (pow.f64 x 2))) (pow.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1 x)) 2) x))) 2))) (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)))))) (+.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 eps 3) (-.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (exp.f64 (*.f64 -1 x)) 2) (pow.f64 x 3))) (*.f64 -1 (*.f64 (pow.f64 (exp.f64 (*.f64 -1 x)) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 -1 x)) 2) (pow.f64 x 2))) (pow.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1 x)) 2) x))) 2)) (*.f64 (pow.f64 (exp.f64 (*.f64 -1 x)) 2) x)) (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)))))) (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)))))) (*.f64 -1 (*.f64 (*.f64 eps (*.f64 (pow.f64 (exp.f64 (*.f64 -1 x)) 2) x)) (sqrt.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 x)) 2)))))))))
(sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) 1))
(sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) 1))
(sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) 1))
(sqrt.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))) 2) 1))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) 2)))
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x))) 2)))
1
(+.f64 1 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))) (*.f64 -1/6 (*.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3))))))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 x))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (exp.f64 (*.f64 -1 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (exp.f64 (*.f64 -1 x)) x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (*.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (*.f64 -1 (*.f64 (-.f64 1 (*.f64 -1 eps)) x)))
(+.f64 x (*.f64 x eps))
(+.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)) 0)
(+.f64 0 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(+.f64 (*.f64 x eps) x)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))) (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2)))
(+.f64 (+.f64 0 (*.f64 x eps)) x)
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(+.f64 (+.f64 (*.f64 x eps) 0) x)
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) 1)
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) (*.f64 1 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2))) (*.f64 1 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))
(+.f64 (*.f64 (+.f64 1 eps) 0) (*.f64 (neg.f64 x) (+.f64 1 eps)))
(+.f64 (*.f64 -1 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) (*.f64 -1 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))
(+.f64 (*.f64 -1 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2))) (*.f64 -1 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))
(+.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) 0) (*.f64 (neg.f64 x) (+.f64 1 eps)))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 1) (*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 1))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))) 1))
(+.f64 (*.f64 0 (+.f64 1 eps)) (*.f64 (neg.f64 x) (+.f64 1 eps)))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))) -1) (*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))) -1))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2)) -1) (*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))) -1))
(+.f64 (*.f64 0 (+.f64 -1 (neg.f64 eps))) (*.f64 (neg.f64 x) (+.f64 1 eps)))
(+.f64 (neg.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) (neg.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))
(+.f64 (neg.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2))) (neg.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))))
(-.f64 x (*.f64 x eps))
(-.f64 0 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(-.f64 (exp.f64 (log1p.f64 x)) (+.f64 1 (*.f64 x eps)))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 x eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 1)
(-.f64 (+.f64 (*.f64 x eps) 0) x)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) 1)
(-.f64 (+.f64 (*.f64 x eps) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (-.f64 0 (*.f64 x eps)) x)
(-.f64 (-.f64 0 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(-.f64 (-.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x)) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))))
(/.f64 x (/.f64 1 (+.f64 1 eps)))
(/.f64 (pow.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)) 2) (*.f64 (neg.f64 x) (+.f64 1 eps)))
(/.f64 (-.f64 1 (*.f64 eps eps)) (/.f64 (-.f64 1 eps) x))
(/.f64 (+.f64 1 (pow.f64 eps 3)) (/.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps)) x))
(/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (-.f64 1 eps))
(/.f64 (+.f64 x (*.f64 (pow.f64 eps 3) x)) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) (+.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)) (*.f64 x eps))))
(/.f64 (*.f64 x (-.f64 (*.f64 eps eps) 1)) (-.f64 eps 1))
(/.f64 (*.f64 x (neg.f64 (-.f64 1 (*.f64 eps eps)))) (neg.f64 (-.f64 1 eps)))
(/.f64 (*.f64 x (+.f64 -1 (neg.f64 (pow.f64 eps 3)))) (+.f64 -1 (neg.f64 (-.f64 (*.f64 eps eps) eps))))
(/.f64 (*.f64 1 (*.f64 x (-.f64 1 (*.f64 eps eps)))) (-.f64 1 eps))
(/.f64 (*.f64 1 (+.f64 x (*.f64 (pow.f64 eps 3) x))) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3))) (+.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)) (*.f64 x eps))))
(/.f64 (*.f64 (+.f64 1 eps) (+.f64 (*.f64 x x) 0)) x)
(/.f64 (*.f64 (+.f64 1 eps) (+.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0))
(/.f64 (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 eps eps)))) (-.f64 1 eps))
(/.f64 (*.f64 -1 (+.f64 x (*.f64 (pow.f64 eps 3) x))) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3))) (+.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)) (*.f64 x eps))))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (-.f64 1 (*.f64 eps eps)))) (sqrt.f64 (-.f64 1 eps)))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 (pow.f64 eps 3)))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps))))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (-.f64 1 (*.f64 eps eps)))) (cbrt.f64 (-.f64 1 eps)))
(/.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 eps 3)))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) (+.f64 (*.f64 x x) 0)) x)
(/.f64 (*.f64 (+.f64 -1 (neg.f64 eps)) (+.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0))
(/.f64 (*.f64 (+.f64 (*.f64 x x) 0) (+.f64 1 eps)) x)
(/.f64 (*.f64 (+.f64 0 (pow.f64 x 3)) (+.f64 1 eps)) (+.f64 (*.f64 x x) 0))
(/.f64 (*.f64 (+.f64 (*.f64 x x) 0) (+.f64 -1 (neg.f64 eps))) x)
(/.f64 (*.f64 (+.f64 0 (pow.f64 x 3)) (+.f64 -1 (neg.f64 eps))) (+.f64 (*.f64 x x) 0))
(/.f64 (*.f64 (-.f64 (*.f64 eps eps) 1) x) (-.f64 eps 1))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (*.f64 eps eps))) x) (neg.f64 (-.f64 1 eps)))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 (pow.f64 eps 3))) x) (+.f64 -1 (neg.f64 (-.f64 (*.f64 eps eps) eps))))
(/.f64 (*.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) 1) (-.f64 1 eps))
(/.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 eps 3) x)) 1) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3)) 1) (+.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)) (*.f64 x eps))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 eps eps))) (*.f64 x (sqrt.f64 (+.f64 1 eps)))) (sqrt.f64 (-.f64 1 eps)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 eps 3))) (*.f64 x (sqrt.f64 (+.f64 1 eps)))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps))))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) 1) (-.f64 1 eps))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (sqrt.f64 (-.f64 1 eps))) (sqrt.f64 (-.f64 1 eps)))
(/.f64 (/.f64 (*.f64 x (-.f64 1 (*.f64 eps eps))) (*.f64 (cbrt.f64 (-.f64 1 eps)) (cbrt.f64 (-.f64 1 eps)))) (cbrt.f64 (-.f64 1 eps)))
(/.f64 (/.f64 (+.f64 x (*.f64 (pow.f64 eps 3) x)) 1) (+.f64 1 (-.f64 (*.f64 eps eps) eps)))
(/.f64 (/.f64 (+.f64 x (*.f64 (pow.f64 eps 3) x)) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps)))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps))))
(/.f64 (/.f64 (+.f64 x (*.f64 (pow.f64 eps 3) x)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps))))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 eps eps) eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x eps) 3))) (+.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)) (*.f64 x eps))))
(pow.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)) 1)
(pow.f64 (sqrt.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)
(pow.f64 (cbrt.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 3)
(pow.f64 (pow.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)) 3) 1/3)
(neg.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))
(sqrt.f64 (pow.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 eps) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))
(fma.f64 x 1 (*.f64 x eps))
(fma.f64 1 x (*.f64 x eps))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 -1 x (*.f64 x eps))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))) 1)
(*.f64 1 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))
(*.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 1)
(*.f64 (sqrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) (sqrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))))
(*.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) (pow.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) 2) (cbrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))) (cbrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))) (*.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))) (cbrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) 2))))
(*.f64 (*.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) (sqrt.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))))) (*.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) (sqrt.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) 3/2) (pow.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) 3/2))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 3) 1/6) (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 3) 1/6))
(*.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)) 1/4) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)) 1/4))
(pow.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 1)
(pow.f64 (sqrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) 2)
(pow.f64 (cbrt.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) 3)
(pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 3) 1/3)
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)) 1/2)
(sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)))
(log.f64 (exp.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))))
(cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 3))
(expm1.f64 (log1p.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))))
(exp.f64 (log.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))))
(log1p.f64 (expm1.f64 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) 1)
(*.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))
(*.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 1)
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) (sqrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 2) (cbrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))
(*.f64 (exp.f64 x) (exp.f64 (*.f64 x eps)))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) eps))
(*.f64 (exp.f64 (*.f64 x eps)) (exp.f64 x))
(*.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 x))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) (cbrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) (cbrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 2)) (cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 2)) (cbrt.f64 (sqrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 3/2) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 3) 1/6) (pow.f64 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 3) 1/6))
(*.f64 (pow.f64 (exp.f64 (+.f64 1 eps)) (/.f64 x 2)) (pow.f64 (exp.f64 (+.f64 1 eps)) (/.f64 x 2)))
(*.f64 (pow.f64 (E.f64) (/.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)) 2)) (pow.f64 (E.f64) (/.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)) 2)))
(*.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)) (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)))
(*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)) (/.f64 (cbrt.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)) (/.f64 (cbrt.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 eps))) (/.f64 (sqrt.f64 (+.f64 1 eps)) 2)) (pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 eps))) (/.f64 (sqrt.f64 (+.f64 1 eps)) 2)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (/.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (/.f64 (cbrt.f64 (+.f64 1 eps)) 2)))
(/.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))
(/.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 1)
(/.f64 (exp.f64 x) (exp.f64 (*.f64 x eps)))
(/.f64 (exp.f64 x) (pow.f64 (exp.f64 x) eps))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) eps) 1) (exp.f64 x))
(/.f64 (*.f64 1 (exp.f64 (*.f64 x eps))) (exp.f64 x))
(/.f64 (*.f64 1 (pow.f64 (exp.f64 x) eps)) (exp.f64 x))
(/.f64 (/.f64 1 (sqrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) (sqrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))
(/.f64 (/.f64 1 (cbrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 2))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 2)) (cbrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))
(/.f64 (/.f64 1 (pow.f64 (exp.f64 x) eps)) (exp.f64 x))
(pow.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 3)
(pow.f64 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 3) 1/3)
(pow.f64 (exp.f64 (+.f64 1 eps)) x)
(pow.f64 (exp.f64 x) (+.f64 1 eps))
(pow.f64 (E.f64) (*.f64 (neg.f64 x) (+.f64 1 eps)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) (sqrt.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2)) (cbrt.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)))
(sqrt.f64 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2))
(log.f64 (exp.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))))
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))
Outputs
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 (+.f64 1 eps) (neg.f64 x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 (+.f64 1 eps) (neg.f64 x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 (+.f64 1 eps) (neg.f64 x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
(*.f64 (+.f64 1 eps) (neg.f64 x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 (+.f64 1 eps) (neg.f64 x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 (+.f64 1 eps) (neg.f64 x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 (+.f64 1 eps) (neg.f64 x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 eps 1) x))
(*.f64 (+.f64 1 eps) (neg.f64 x))
(*.f64 x (-.f64 -1 eps))
(*.f64 -1 (*.f64 (+.f64 1 eps) x))
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(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (+.f64 1 eps))) (sqrt.f64 (+.f64 1 eps)))
(pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 eps)) 2)) (cbrt.f64 (+.f64 1 eps)))
(sqrt.f64 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 2))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps)) 2))
(fabs.f64 (pow.f64 (exp.f64 (-.f64 -1 eps)) x))
(log.f64 (exp.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))) 3))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 1 eps))
(pow.f64 (exp.f64 (-.f64 -1 eps)) x)

eval563.0ms (4.1%)

Compiler

Compiled 36686 to 19509 computations (46.8% saved)

prune360.0ms (2.6%)

Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New1165121177
Fresh257
Picked101
Done527
Total1173191192
Error
0.0b
Counts
1192 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(/.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (/.f64 (-.f64 -1 x) (exp.f64 x))) 2)
17.5b
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))) 2)
13.1b
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps))))) 2)
22.1b
(/.f64 (-.f64 2 (/.f64 (-.f64 4 (*.f64 eps eps)) (/.f64 (-.f64 2 eps) x))) 2)
17.1b
(/.f64 (-.f64 2 (*.f64 x eps)) 2)
16.9b
(/.f64 (+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x))) 2)
17.0b
(/.f64 (+.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 -1 x))) (/.f64 x (exp.f64 x))) 2)
17.1b
(/.f64 (+.f64 2 (neg.f64 (*.f64 x x))) 2)
17.5b
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 2)
45.8b
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
0.3b
(/.f64 (*.f64 2 (+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))) 2)
1.6b
(/.f64 (*.f64 2 (exp.f64 (neg.f64 x))) 2)
53.9b
(/.f64 (*.f64 1 (hypot.f64 1 (exp.f64 (/.f64 (-.f64 -1 eps) (/.f64 (/.f64 x x) x))))) 2)
54.1b
(/.f64 (*.f64 1 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 eps) x)))) 2)
54.0b
(/.f64 (*.f64 1 (sqrt.f64 2)) 2)
2.5b
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) 2)
46.3b
(/.f64 0 2)
61.8b
(*.f64 eps (*.f64 x -1/2))
16.8b
1
Compiler

Compiled 260 to 212 computations (18.5% saved)

regimes89.0ms (0.6%)

Counts
40 → 1
Calls
Call 1
Inputs
1
(/.f64 0 2)
(/.f64 2 2)
(*.f64 eps (*.f64 x -1/2))
(/.f64 (-.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 2 (neg.f64 (*.f64 x x))) 2)
(/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
(/.f64 (-.f64 2 (/.f64 (-.f64 4 (*.f64 eps eps)) (/.f64 (-.f64 2 eps) x))) 2)
(/.f64 (*.f64 1 (sqrt.f64 2)) 2)
(/.f64 (*.f64 2 (exp.f64 (neg.f64 x))) 2)
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x))) 2)
(/.f64 (-.f64 1 (/.f64 (-.f64 -1 x) (exp.f64 x))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 2)
(/.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (/.f64 (-.f64 -1 x) (exp.f64 x))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 (+.f64 eps 1) (neg.f64 x))) -1))) 2)
(/.f64 (expm1.f64 (log1p.f64 2)) 2)
(/.f64 (*.f64 1 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 eps) x)))) 2)
(/.f64 (*.f64 2 (+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))) 2)
(/.f64 (*.f64 1 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) 2)
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 -1 x) (exp.f64 x))) 2)
(/.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) -1) 2)
(/.f64 (*.f64 1 (hypot.f64 1 (exp.f64 (/.f64 (-.f64 -1 eps) (/.f64 (/.f64 x x) x))))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
(/.f64 (+.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 -1 x))) (/.f64 x (exp.f64 x))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x))) 2)
(/.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (/.f64 (-.f64 -1 x) (exp.f64 x))) 2)
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))))) 2)
(/.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))) 2)
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))))) 2)
(/.f64 (fma.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (exp.f64 (+.f64 eps -1)) x) (/.f64 (-.f64 1 (/.f64 1 eps)) (exp.f64 (fma.f64 eps x x)))) 2)
Outputs
(/.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (/.f64 (-.f64 -1 x) (exp.f64 x))) 2)
Calls

4 calls:

48.0ms
eps
18.0ms
x
5.0ms
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
4.0ms
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Results
ErrorSegmentsBranch
0.3b1x
0.3b1eps
0.3b1(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
0.3b1(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Compiler

Compiled 680 to 503 computations (26% saved)

regimes51.0ms (0.4%)

Counts
35 → 1
Calls
Call 1
Inputs
1
(/.f64 0 2)
(/.f64 2 2)
(*.f64 eps (*.f64 x -1/2))
(/.f64 (-.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 2 (neg.f64 (*.f64 x x))) 2)
(/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
(/.f64 (-.f64 2 (/.f64 (-.f64 4 (*.f64 eps eps)) (/.f64 (-.f64 2 eps) x))) 2)
(/.f64 (*.f64 1 (sqrt.f64 2)) 2)
(/.f64 (*.f64 2 (exp.f64 (neg.f64 x))) 2)
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x))) 2)
(/.f64 (-.f64 1 (/.f64 (-.f64 -1 x) (exp.f64 x))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 2)
(/.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (/.f64 (-.f64 -1 x) (exp.f64 x))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 (+.f64 eps 1) (neg.f64 x))) -1))) 2)
(/.f64 (expm1.f64 (log1p.f64 2)) 2)
(/.f64 (*.f64 1 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 eps) x)))) 2)
(/.f64 (*.f64 2 (+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))) 2)
(/.f64 (*.f64 1 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps))))) 2)
(/.f64 (-.f64 (/.f64 x (exp.f64 x)) (/.f64 (-.f64 -1 x) (exp.f64 x))) 2)
(/.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) -1) 2)
(/.f64 (*.f64 1 (hypot.f64 1 (exp.f64 (/.f64 (-.f64 -1 eps) (/.f64 (/.f64 x x) x))))) 2)
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
(/.f64 (+.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (*.f64 -1 x))) (/.f64 x (exp.f64 x))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 x eps))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (*.f64 -1 x)) x)) (*.f64 -1 (exp.f64 (*.f64 -1 x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (+.f64 (+.f64 (/.f64 x (exp.f64 x)) (*.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 x (exp.f64 x))) 2)
Outputs
(/.f64 (*.f64 2 (+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))) 2)
Calls

4 calls:

15.0ms
eps
15.0ms
x
5.0ms
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
4.0ms
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1eps
0.3b1(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
0.3b1(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
Compiler

Compiled 552 to 406 computations (26.4% saved)

regimes52.0ms (0.4%)

Counts
22 → 1
Calls
Call 1
Inputs
1
(/.f64 0 2)
(/.f64 2 2)
(*.f64 eps (*.f64 x -1/2))
(/.f64 (-.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 2 (neg.f64 (*.f64 x x))) 2)
(/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
(/.f64 (-.f64 2 (/.f64 (-.f64 4 (*.f64 eps eps)) (/.f64 (-.f64 2 eps) x))) 2)
(/.f64 (*.f64 1 (sqrt.f64 2)) 2)
(/.f64 (*.f64 2 (exp.f64 (neg.f64 x))) 2)
(/.f64 (*.f64 2 (/.f64 x (exp.f64 x))) 2)
(/.f64 (+.f64 (-.f64 2 x) (/.f64 x (exp.f64 x))) 2)
(/.f64 (-.f64 1 (/.f64 (-.f64 -1 x) (exp.f64 x))) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 (neg.f64 x) (+.f64 1 eps)))) 2)
(/.f64 (-.f64 1 (*.f64 -1 (exp.f64 (*.f64 -1 (*.f64 (+.f64 eps 1) x))))) 2)
(/.f64 (-.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (/.f64 (-.f64 -1 x) (exp.f64 x))) 2)
(/.f64 (-.f64 (+.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 (+.f64 1 eps) (neg.f64 x))))) 2)
(/.f64 (-.f64 (exp.f64 (*.f64 -1 (*.f64 (-.f64 1 eps) x))) (*.f64 -1 (+.f64 1 (*.f64 -1 (*.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 (-.f64 1 eps) (neg.f64 x)))) (+.f64 (/.f64 1 eps) (+.f64 (*.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 (+.f64 eps 1) (neg.f64 x))) -1))) 2)
(/.f64 (expm1.f64 (log1p.f64 2)) 2)
(/.f64 (*.f64 1 (hypot.f64 1 (exp.f64 (*.f64 (neg.f64 eps) x)))) 2)
Outputs
(/.f64 (*.f64 2 (exp.f64 (neg.f64 x))) 2)
Calls

2 calls:

13.0ms
x
10.0ms
eps
Results
ErrorSegmentsBranch
1.6b1x
1.6b1eps
Compiler

Compiled 249 to 190 computations (23.7% saved)

regimes20.0ms (0.1%)

Counts
10 → 2
Calls
Call 1
Inputs
1
(/.f64 0 2)
(/.f64 2 2)
(*.f64 eps (*.f64 x -1/2))
(/.f64 (-.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 2 (neg.f64 (*.f64 x x))) 2)
(/.f64 (-.f64 2 (*.f64 (+.f64 2 eps) x)) 2)
(/.f64 (+.f64 2 (*.f64 (-.f64 (/.f64 1 eps) 1) (*.f64 (+.f64 1 eps) x))) 2)
(/.f64 (-.f64 2 (/.f64 (-.f64 4 (*.f64 eps eps)) (/.f64 (-.f64 2 eps) x))) 2)
(/.f64 (*.f64 1 (sqrt.f64 2)) 2)
Outputs
(/.f64 (+.f64 2 (neg.f64 (*.f64 x x))) 2)
(/.f64 0 2)
Calls

2 calls:

11.0ms
x
6.0ms
eps
Results
ErrorSegmentsBranch
1.0b2x
16.8b1eps
Compiler

Compiled 80 to 63 computations (21.3% saved)

bsearch55.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
55.0ms
0.3306616039765183
72.14549930638773
Results
35.0ms60×body1024valid
8.0ms27×body512valid
3.0ms21×body256valid
3.0ms21×body256infinite
3.0msbody2048valid
Compiler

Compiled 155 to 134 computations (13.5% saved)

regimes13.0ms (0.1%)

Accuracy

Total -61.1b remaining (-5565.2%)

Threshold costs -61.1b (-5565.2%)

Counts
5 → 2
Calls
Call 1
Inputs
1
(/.f64 0 2)
(/.f64 2 2)
(*.f64 eps (*.f64 x -1/2))
(/.f64 (-.f64 2 (*.f64 x eps)) 2)
Outputs
1
(/.f64 0 2)
Calls

2 calls:

7.0ms
x
4.0ms
eps
Results
ErrorSegmentsBranch
1.1b2x
16.8b1eps
Compiler

Compiled 27 to 21 computations (22.2% saved)

bsearch68.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
68.0ms
72.14549930638773
279277654029.2819
Results
25.0ms48×body1024valid
23.0ms64×body256valid
9.0ms29×body512valid
7.0ms44×body256infinite
2.0msbody2048valid
Compiler

Compiled 126 to 119 computations (5.6% saved)

simplify19.0ms (0.1%)

Algorithm
egg-herbie
Rules
96×*-commutative
80×distribute-lft-neg-in
64×+-commutative
52×neg-sub0
38×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039156
160156
269156
379156
495156
5108156
6126156
7145156
8165156
9188156
10218156
11251156
12285156
13309156
14319156
15321156
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (/.f64 (-.f64 -1 x) (exp.f64 x))) 2)
(/.f64 (*.f64 2 (+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))) 2)
(/.f64 (*.f64 2 (exp.f64 (neg.f64 x))) 2)
(if (<=.f64 x 3152519739159347/2251799813685248) (/.f64 (+.f64 2 (neg.f64 (*.f64 x x))) 2) (/.f64 0 2))
(if (<=.f64 x 360) 1 (/.f64 0 2))
1
Outputs
(/.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 -1 x)) x) (exp.f64 (*.f64 -1 x))) (/.f64 (-.f64 -1 x) (exp.f64 x))) 2)
(/.f64 (-.f64 (+.f64 (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))) (/.f64 (-.f64 -1 x) (exp.f64 x))) 2)
(/.f64 (+.f64 (+.f64 (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))) (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(/.f64 (*.f64 2 (+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))) 2)
(/.f64 (*.f64 2 (exp.f64 (neg.f64 x))) 2)
(if (<=.f64 x 3152519739159347/2251799813685248) (/.f64 (+.f64 2 (neg.f64 (*.f64 x x))) 2) (/.f64 0 2))
(if (<=.f64 x 3152519739159347/2251799813685248) (/.f64 (-.f64 2 (*.f64 x x)) 2) 0)
(if (<=.f64 x 360) 1 (/.f64 0 2))
(if (<=.f64 x 360) 1 0)
1
Compiler

Compiled 68 to 53 computations (22.1% saved)

soundness206.0ms (1.5%)

Algorithm
egg-herbie
Rules
1196×associate-/l*
1192×fma-def
1030×associate-*l*
1026×times-frac
954×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02289
16089
216273
351173
4172373
02374481
15814123
230113369
Stop Event
node limit
node limit
Compiler

Compiled 467 to 356 computations (23.8% saved)

end39.0ms (0.3%)

Compiler

Compiled 58 to 38 computations (34.5% saved)

Profiling

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